Prof. Dr. Sirajul Haq

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Prof. Dr. Sirajul Haq

Professor of Mathematics and Ex-Dean Student Affairs

Qualifications: PhD, 2004, University of Liverpool, UK
Research Interests: Numerical Analysis; Analysis of Non-Local Lattice Models and Applications in Dislocation Theory; Group Theoretic Methods,

Representative Publications

  • Haq, S. (With Ayub, M., Siddique, A.M., Hayat, T. and Asghar, S.), (2003) “Group Analysis of Two Dimensional Flow of a Non-Newtonian Fluid”, Islamabad Journal of Science, Vol. 13, No. 1, P. 47-59.
  • Haq, S. (with Movchan, A.B. and Movchan, N.V.), (2006) “Localised Vibration Modes and Stop Bands for Continuous and Discrete Periodic Structures”, Materials Science and Engineering A, Vol. 431, Issues 1-2, P. 175-183. 
  • Haq, S. (with Movchan, A.B. and Rodin, G.J.), (2006) “Analysis of lattices with non-linear interphases”, Acta Mechanica Sinica , Vol. 22, No. 4,  P. 323 – 330.                                                                                                                
  • Haq, S. (with Movchan, A.B. and Movchan, N.V.), (2007) “Localised defect modes and a macro-cell analysis for dynamic lattice structures with defects”. In: eds. Vibration Problems ICOVP 2005.The Seventh International Conference on Vibration Problems ICOVP 2005, Sile Campus, Isik University, Istanbul, Turkey. Istanbul: Springer, pp.327-336.
  • Haq, S. (with Movchan, A.B. and Rodin, G.J.), (2007) “Lattice Green’s Functions in Nonlinear analysis of Defects”, Journal of Applied Mechanics, Vol. 74, No.4, P. 686-690.                                                                            
  • Haq, S. (with Islam, S-U. and Ali, A.), (2008), “A Numerical Meshfree Technique for the Solution of the MEW Equation”, Computer Modelling in Engineering and Sciences, Vol. 38, Issue 1, P.1-23.                                                     
  • Haq, S. (with Islam, S-U. and Ali, J.), (2009) “Numerical Solution of Special 12th-order Boundary Value Problems using Differential Transform Method”, Communications in Nonlinear Science and Numerical Simulation, Vol. 14, P. 1132-1138.          
  • Haq, S. (with Islam, S-U. and Uddin, M.) (2009), “Numerical solution of Nonlinear Schrodinger Equations by collocation Method using Radial Basis Functions”, Computer Modelling in Engineering and  Sciences, Vol. 44, Issue 2, P. 115-135.  
  • Haq, S. (with Ali, A., Islam, S-U.), (2009), “A Computational Meshfree Technique for the Numerical Solution of the Two Dimensional Coupled Burgers Equations”, International Journal for Computational Methods in Engineering Science & Mechanics, Vol. 10, Issue 5, P. 406-422
  • Haq, S. (with Islam, S-U. and Uddin, M.), (2009) “A Meshfree Interpolation Method For Numerical the Solution of the Coupled Nonlinear Partial Differential Equations”, Engineering Analysis with Boundary Elements, Vol. 33, Issue No. 3, P. 399-409. 
  • Haq, S. (with Islam, S-U. and Ali, A.), (2009) “A Meshfree Method for the Numerical Solution of RLW Equation”, Journal of Computational and Applied Mathematics, Vol. 223. Issue 2, P.997-1012. 
  • Haq, S. (with Uddin, M., and Islam, S-U.), (2009), “ Numerical solution of Complex modified Kortewag-de Vries equation by mesh-free collocation method”, Computers and Mathematics With Applications, Vol. 58, Issue 3, P. 566-578.                                                             
  • Haq, S. (with Uddin, M. and Islam, S-U.), (2009), “A Mesh-free Numerical method for Solution of the Family of Kuramoto-Sivashinsky Equations”, Applied Mathematics and Computation, Vol. 212, Issue 2, P. 458-469.                                
  • Haq, S. (with, Islam, S-U. and Uddin, M.),  (2009) “A mesh-free method for the numerical solution of the KdV-Burgers’ equation”, Applied Mathematical Modelling, Vol. 33, Issue 8, P. 3442-3449.                                                               
  • Haq, S. (with Hussain, A. And Islam, S-U.), (2010) “Solutions of  Coupled, Fifth-order KdV and Kawahara Equations Using Differential Transform Method with Pade` Approximant”,  Selçuk Journal of Applied Mathematics, Vol. 11, Issue 1, P. 43-62.
  • Haq, S. (with Idrees M. and Islam, S.), (2010), “Application of Optimal Homotopy Asymptotic Method to Eight Order Initial and Boundary Value Problems”, International Journal of Applied Mathematics and Computation, Vol. 2, Issue 4, P. 38-47.
  • Haq, S. (with Idrees M. and Islam, S.), (2010), “Application of Optimal Homotopy Asymptotic Method to Special Sixth Order Boundary Value Problems”, World Applied Sciences Journal, Vol. 9, Issue 2, P. 138-143.                           
  • Haq, S. (with Idrees M. and Islam, S.), (2010), “Application of Optimal Homotopy Asymptotic Method to Fourth Order Boundary Value Problems”, World Applied Sciences Journal, Vol. 9, Issue 2, P. 131-137.                                              
  • Haq, S. (with Idrees M., Islam, S. And Islam, S-U), (2010), “Application of the Optimal Homotopy Asymptotic Method to Squeezing Flow”, Computers and Mathematics With Applications, Vol. 59, Issue 12, P. 3858-3866                                                     
  • Haq, S. (with Islam, S-U. and Ali, A.), (2010), “A Computational Modeling of the Behaviour of the Two-Dimensional Reaction-Diffusion Brusselator System” Applied Mathematical Modelling,      Vol. 34, P. 3896-3909.                
  • Haq, S. (with Bibi, N., Tirmizi, S.I.A, and Usman, M.),  (2010), “Meshless Method of Lines For The Numerical Solution of Generalized Kuramoto-Shivashinsky Equation “, Applied Mathematics and Computation, Vol. 217, Issue 6, P. 2404-2413.
  • Haq, S. (with Uddin, M.),(2011),“RBFs Approximation Method for Kawahara Equation”, Engineering Analysis with Boundary Elements, Vol. 35, Issue 3, P. 575-580.                                         
  • Haq, S. (with Hussain, A. and Uddin, M.), (2011),“ RBFs meshless method of lines for the numerical solution of time-dependent nonlinear coupled partial differential equations”, Applied Mathematics, Vol. 2, Issue 4, P. 414-423.
  • Haq, S. (with Bibi, N. and Tirmizi, S.I.A), (2011), “Meshless Method of Lines for Numerical Solution of Kawahara Type Equations”, Applied Mathematics, Vol. 2, Issue 5, P. 608-618. 
  • Haq, S. (with Uddin, M.), (2011), “ Application of a Numerical Method Using Radial Basis Functions to Nonlinear PDEs”, Selcuk journal of Applied Mathematics, Vol. 12, Issue 1, P. 77-93.
  • Haq, S. (with Uddin, M.), (2011),“RBFs Approximation Method for time fractional partial differential equations” Communications in Nonlinear Science and Numerical Simulation, Vol. 16, Issue 11, P. 4208-4214.    
  • Haq, S. (with Idrees, M., Islam, S., Tirmizi, S.I.A.), (2012), “Application of Optimal Homotopy Asymptotic Method for the Solution of Korteweg-de-Vries Equation”, Mathematical and Computer Modelling, Vol. 55, Issues 3-4, P. 1324-1333.                                                                         
  • Haq, S. (with Uddin, M., Qasim, G.), (2012), “A Meshfree Approach for the Numerical Solution of Nonlinear Sine-Gordon Equation”, International Mathematical Forum, Vol. 7, Issue. 24, P.1179-1186.    
  • Haq, S. (with Hussain, A. and Uddin, M.), (2012),“On the Numerical Solution of Nonlinear Burgers’-Type Equations Using Meshless Method of Lines”, Applied Mathematics and Computation, Vol. 218, Issue 11, P. 6280-6290.                                                                              
  • Haq, S. (with Uddin, M. And Ishaq, M.), (2012), “RBF-PS Method for the Numerical Solution of Good Boussinesq Equation”, Applied Mathematical Sciences, Vol. 6, Issue 49, P. 2403-2410.               
  • Haq, S. (with Ishaq, M.), (2012), “Solution of strongly nonlinear ordinary differential equations arising in heat transfer with optimal homotopy asymptotic method”, International Journal of Heat and Mass Transfer, Vol. 55, P. 5737-5743. 
  • Haq, S. (with Uddin, M.), (2012), “Numerical Solution of Nonlinear Fisher’s Equations Using Collocation Method Radial Basis Functions”, Proceedings 2nd International Symposium on Frontiers of Computational Sciences Islamabad, Pakistan 2012, P. 27-38.
  • Haq, S. (with Uddin, M., Hussain, A. and Ali, S.), (2014), “RBFs Meshless Method of Lines for the Numerical Solution of Nonlinear Sine-Gordon Equation”, Walailak Journal of Sciences and Technology, Vol. 11, Issue 4, P. 349-360.
  • Haq, S. (with Ishaq, M.), (2014), “An Efficient Numerical Method for the Solution of Coupled Two Dimensional Burgers’ Equations”, World Applied Science Journal, vol. 29, Issue 2, P. 277-286.
  • Haq, S. (with Ishaq, M.), (2014), “Solution of Coupled Whitham-Broer-Kaup Equations using Optimal Homotopy Asymptotic Method”, Ocean Engineering, Vol. 84, P.81-88.
  • Haq, S. ( with Sohaib, M., Mukhtar, S, Khan, I), (2018), “Numerical Solution of Sixth-order Boundary-value Problems using Legendre Wavelet Collocation Method”, Results in Physics, Vol. 8, P. 1204-1208.
  • Haq, S. ( with Ghafoor, A.), (2018), “An Efficient Numerical Algorithm for Multi-dimensional Time Dependent Partial Differential Equations”, Computers & Mathematics with Applications, Vol. 75, Issue 8, P.2723-2734.
  • Haq, S. ( with Ghafoor, A.), (2018), “An Efficient Numerical Scheme for the Study of Equal Width Equation”, Results in Physics, Vol. 9, P. 1411-1416.
  • Haq, S. ( with Hussain, M.), (2018), “Selection of Shape parametter in Radial Basis Functions for Solution of Time-fractional Black-Sholes Models”, Applied mathematics and Computation, Vol. 335, P. 248-263.
  • Haq, S. (with Ghafoor, A., Hussain, M., Arifeen, S), (2019), ” Numerical solutions of two dimensional Sobolev and generalized Benjamin–Bona–Mahony–Burgers equations via Haar wavelets”, Computers & Mathematics with Applications, Vol. 77, Issue 2, P. 565-575.
  • Haq, S. (with Hussain, M.), (2019), “The meshless Kansa method for time-fractional higher order partial differential equations with constant and variable coefficients” RACSAM, Vol. 113, Issue 3, P. 1935-1954.
  • Haq, S. (with Hussain, M.), (2019), “Weighted meshless spectral method for the solutions of multi-term time fractional advection-diffusion problems arising in heat and mass transfer”, International Journal of Heat and Mass Transfer, Vol. 129, P. 1305-1316.
  • Haq, S. (with Hussain, M., Ghafoor, A.), (2019), “Meshless spectral method for solution of time-fractional coupled KdV equations”, Applied Mathematics and Computation, Vol. 341, P. 321-334.
  • Haq, S. (with Hussain, M., Ghafoor, A., Ali, I.), (2019), “Numerical solutions of time-fractional coupled viscous Burgers’ equations using meshfree spectral method”, Computational and Applied Mathematics, (Accepted).
  • Haq, S. (with Hussain, M., Ghafoor, A.), (2019), “A computational study of variable coefficients fractional advection-diffusion-reaction equations via implicit meshless spectral algorithm”, Engineering with Computers, doi:10.1007/s00366-019-00760-x.
  • Haq, S. (with M., Ghafoor, A., Hussain, M.), (2019), “Numerical solutions of variable order time fractional (1+1)- and (1+2)-dimensional advection dispersion and diffusion Models”, Applied Mathematics and Computation, Vol. 360, P. 107-121.
  • Haq, S. (with Hussain, M), (2019), “Application of meshfree spectral method for the solution of multi-dimensional time-fractional Sobolev equations”, Engineering  Analysis with Boundary Elements, Vol. 106, P. 201-216.
  • Haq, S. (with Hussain, M., Ghafoor, A.), (2019), “A computational study of variable coefficients fractional advection-diffusion-reaction equations via implicit meshless spectral algorithm”, Engineering with Computers, doi:10.1007/s00366-019-00760-x.
  • Haq, S. (with M., Ghafoor, A., Hussain, M., Kumam, P., Jan, A.), (2019), “Approximate solutions of time fractional diffusion wave models”, Mathematics, Vol. 7, Issue 10, P. 923, doi.org/10.3390/math7100923
  • Haq, S. (with Hussain, M), (2019), “A computational study of solitary wave solutions of Kawahara-type equations by meshless spectral interpolation method”, International Journal of Modern Physics C, 1950102,  doi.org/10.1142/S012918311950102X.
  • Haq, S. (with Hussain, M., Ghafoor, A., Ali, I.), (2020), “Numerical solutions of time-fractional coupled viscous Burgers’ equations using meshfree spectral method”, Computational and Applied Mathematics, doi.org/10.1007/s40314-019-0985-3.
  • Haq, S. (with Hussain, M., Ghafoor, A.), (2020), “Meshless RBFs method for numerical solutions of two-dimensional higher order fractional Sobolev equations”, Computers & Mathematics with Applications, Vol. 79, P. 802-816.
  • Haq, S. (with Hussain, M), (2020), “Numerical simulation of solitary waves of Rosenau-KdV equation by Crank-Nicolson meshless spectral interpolation method”, The European Physical Journal Plus, Vol. 135, Issue 1, Article 98, doi.org/10.1140/epjp/s13360-020-00156-7.
  • Haq, S. (with Sohaib, M.), (2020), “An efficient wavelet-based method for numerical solution of nonlinear integral and integro-differential equations” Mathematical Methods in The Applied Sciences, 1-15, doi.org/10.1002/mma.6441.
  • Haq, S. (with Hussain, M), (2020), “A hybrid RBFs collocation technique to numerically solve fractional advection-diffusion models”, Numerical Methods for Partial Differential Equations, Vol. 36, issue 6, P. 1254-1279, doi.org/10.1002/num.22472.
  • Haq, S. (with M., Ghafoor, A., Hussain, M., Kumam, P.), (2020), “Wavelet based algorithm for numerical study of (1+2)-dimensional time fractional diffusion problems”, Advances in Difference Equations, 2020:429, https://doi.org/10.1186/s13662-020-02861-0.
  • Haq, S. (with Hussain, M), (2020), “Numerical solutions of strongly nonlinear generalized Burgers-Fisher equation via meshfree spectral technique”, International Journal of Computer Mathematics (GCOM), doi.org/10.1080/00207160.2020.1846729.
  • Haq, S. (with Hussain, M), (2021), “Numerical simulation of higher–order diffusion–wave equations of variable coefficients using the meshless spectral method”, International Journal of Modern Physics C, Vol. 32, No. 1 (2021) 2150010 (19 pages), doi.org/10.1142/S0129183121500108.
  • Haq, S. (with Ali, I., Nisar, K. S., Baleanu, D.), (2021), “An efficient numerical scheme based on Lucas polynomials for the study of multi-dimensional Burgers type equations”, Advances in Difference Equations, Article Number 2021: 43, doi.org/10.1186/s13662-020-03160-4.
  • Haq, S. (with Hussain, M), (2021), “Radial basis functions collocation method for numerical solution of coupled Burgers’ and Kortwege-de Vries equations of fractional order”, Iranian Journal of Science and Technology, Transactions A: Science, doi: 10.1007/s40995-021-01065-9.
  • Haq, S. (with M., Ghafoor, Rasool, A., Baleanu, D.) 2021, “An efficient numerical algorithm for the study of time fractional Tricomi and Keldysh type equations”,  Engineering with Computers, doi.org/10.1007/s00366-020-01257-8.
  • Haq, S. (with Ali, I.,), (2021), “Approximate solution of two-dimensional Sobolev equation using a mixed Lucas and Fibonacci polynomials”, Engineering with Computers,    doi.org/10.1007/s00366-021-01327-5.
  • Haq, S. (with Ali, I.,), (2021), “A computational study of two-dimensional reaction-diffusion Brusselator system with applications in chemical processes”, Alexandria Engineering Journal, Vol. 60, issue 5, P. 4381-4392.
  • Haq, S. (with Arifeen, S., Ghafoor, A., Ullah, A., Kumam, P., Chaipanya, P.), (2021), “Numerical solutions of higher order boundary value problems via wavelet approach”, Advances in Difference Equations, doi.org/10.1186/s13662-021-03495-6, 2021:347.
  • Haq, S. (with Ali, I., Arifeen, S, Nisar, K. S.), (2021), “Numerical study of 1D and 2D advection-diffusion-reaction equations using Lucas and Fibonacci polynomials”, Arabian Journal of Mathematics, doi.org/10.1007/s40065-021-00330-4.
  • Haq, S. (with A. Hussain, A., Uddin, M., Jan, H.U), (2021), “Numerical solution of heat equation in polar cylindrical coordinates by meshless method of lines”, Journal of Mathematics, Vol 2021, Article ID 8862139, 11 pages, doi.org/10.1155/2021/8862139.
  • Haq, S. (with Ali, I., Aldosary, S.F., Nisar, K. S., Ahmad, F.), (2022) “Numerical solution of one- and two-dimensional time-fractional Burgers equation via Lucas polynomials coupled with Finite difference method”, Alexandria Engineering Journal, org/10.1016/j.aej.2021.11.032.
  • Haq, S. (with Sohaib, M.), (2021), “An enhanced wavelet-based method for numerical solution of high order boundary value problems”, Journal of Mountain Area Research, Vol. 6, p. 63-76, dec. 2021 org/10.53874/jmar.v6i0.109.
  • Haq, S. (with Ghafoor, A, Hussain, M., Abdeljawad, T., Alqudah, M.A.), (2022), “Numerical solutions of variable coefficient higher order partial differential equations arising in beam models”, Entropy, . Vol. 24, 567. doi.org/10.3390/ e24040567.
  • Haq, S. (with Shaheen, S., Ghafoor, A.), (2022), “A meshfree technique for the numerical solutions of nonlinear Fornberg-Whitham and Degasperis-Procesi equations with their modified form” Computational and Applied Mathematics, (2022) 41:183, doi.org/10.1007/s40314-022-01870-x
  • Haq, S. (with Qazi, S.,Hussain, F., Ramzan, M.), (2022), “A note on classification of Kantowski Sachs and Bianchi type III solutions in f(T) gravity via conformal vector fields”, International Journal of Geometric Methods in Modern Physics, Vol. 19, No. 12, doi.org/10.1142/S0219887822501882.
  • Haq, S. (with Shaheen, S. Nisar, K. S.), (2022), “Computational study of non-linear integer and time-fractional foam drainage equations using radial basis functions”, Results in Physics, 40, 105844, doi.org/10.1016/j.rinp.2022.105844.
  • Haq, S. (with Ali, I., Ullah, R., Arifeen, S.), (2022), “Approximate Solution of Second Order Singular Perturbed and Obstacle Boundary Value Problems Using Meshless Method Based on Radial Basis Functions” Journal of Nonlinear Mathematical Physics, doi.org/10.1007/s44198-022-00080-7.
  • Haq, S. (with Arifeen, S., Farhan), (2022), “Computational study of multi-term time-fractional differential equation using cubic B-spline finite element method”, Complexity, 2022, Article ID 3160725, doi.org/10.1155/2022/3160725.
  • Haq, S. (with Arifeen, S), (2023) “Petrov-Galerkin approximation of time-fractional coupled Korteweg-de Vries equation for propagation of long wave in shallow water”, Mathematics and Computers in Simulation, 207, P. 226-242.
  • Haq, S. (with Malik, , Hussain, F., Sui, T., Ali, A., Ramzan, M), (2023) “classification of Bianchi type I solutions via conformal vector fields and energy conditions in modified teleparallel gravity”, Results in Physics, Vol. 46, 106267, doi.org/10.1016/j.rinp.2023.106267
  • Haq, S. (with Arifeen, S, Noreen, A.), (2023) “An efficient computational technique for higher order KdV equation arising in shallow water waves”, Applied Numerical Mathematics, Vol. 189, P. 53-65.
  • Haq, S. (with Qazi, S., Hussain, F., Ali, A., Ramzan, M.), (2023), “Conformal motions of anisotropic exact Bianchi type II models admitting energy conditions in f(T) gravity, International Journal of Modern Physics D, (accepted)
  • Haq, S. (with Qazi, S., Nisar, K.S., Hussain, F., Ali, A., Muhammad, T., Ramzan, M.), (2023) “Classification of exact Bianchi type V cosmological solutions via conformal vector fields admitting energy conditions in 𝑓(𝑇) gravity” Results in Physics, (accepted)
MS Students Supervised
  • Solution of Singular Two-Point Boundary Value Problems Using Cubic Spline – Muhammad Idrees, 2006.
  • Numerical Solution of Third and Fifth Order Korteweg-de Vries Equations by Collocation Method using Radial Basis Functions – Nagina Bibi, 2008.
  • Numerical Solution of Partial Differential Equations by Collocation Method Using Radial Basis Functions – Marjan Uddin, 2008.
  • Differential Transform Method with Pade Approximant for Solving Nonlinear Partial Differential Equations – Arshad Hussain, 2008.
  • An Optimal Homotopy Asymptotic Method for Solving Nonlinear Differential Equations – Muhammad Ishaq, 2009.
  • Solution of Ordinary and Partial Differential Equations with Optimal Homotopy Asymptotic method – Saba Akbar, 2013.
  • Approximate Solution of Differential Equations using Legendre Wavelet Collocation method – Muhammad Sohaib, 2015.
  • A Meshfree Technique for Solution of Differential Equations – Ihteram Ali, 2018.
  •  Wavelet Method for Solving Differential Equations – Shams Ul Arifeen, 2018.
  • Numerical Solution of Partial and Fractional Differential Equations Using Meshfree Method – Danyal Ahmad, 2019.
  • Residual Power Series Method for Solving Differential Equations – Qurrat ul Ain, 2020.
  • Numerical Approximation of Differential Equation via B-spline Collocation Scheme – Ayesha Noreen, 2022.
  •  Numerical Solutions of Second and Third Partial Differential Equations Using Quintic B-spline Collocation Method – Tanveer Akbar, 2023.
  •  

 

PhD Students Supervised
  • Mesh Free Collocation Method for Numerical Solution of Initial Boundary Value Problems Using Radial Basis Functions – Arshed Ali, 2009.
  • Meshless Method of Lines for Numerical Solutions of Nonlinear Time Dependent Partial Differential Equations – Nagina Bibi, 2011.
  •  Application of Optimal Honotopy Asymptotic Method to Initial and Boundary Value Problems – Muhammad Idrees, 2011.
  • RBF Approximation Method for Initial-Boundary Value problems – Marjan Uddin, 2011.
  • A Meshless Approach to the Numerical Solution of Partial Differential Equations – Arshad Hussain, 2013.
  • An Approximate Method for the Solution of Differential Equations – Muhammad Ishaq, 2014.
  • Numerical Solution of Differential Equations by Haar Wavelets – Abdul Ghafoor, 2018.
  • Meshfree Methods for the Numerical Solutions of Partial Differential Equations – Manzoor Hussain, 2019.
  • Numerical Solution of Partial Differential Equation using Lucas and Fibonacci Polynomials – Ihteram Ali, 2021.
  • Numerical Solution of Partial Differential Equation using Mehsless Method – Sadaf Shaheen, 2023.
  • Galerkin and Petro-Galerkin Finite Element Method for Integer and Fractional order Differential Equations – Shams Ul Arifeen, 2023.
  • Classification of Some Spacetimes via Conformal Symmetries in f(T, B) Gravity – Shabeela Malik, 2023.
  • On Conformal Motions of Some Cosmological Models in f(T) Gravity – Sabiha Qazi, 2023.
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