|Analytical Methods for Partial Differential Equations||Hours: 3 0 3|
Introduction and Classification, Boundary Conditions, Wave equation, D’Alembert’s solution, Method of characteristics, Separation of variables, Diffusion equation. Application of Fourier series, Sturm-Liuoville theory, Orthogonal Eigenfunctions, PDEs in cylindrical coordinates, Fourier-Bessel series, Steady-state and time-dependent problems involving cylinders, Problems in spherical geometry. Fourier-Legendre series, Spherical Bessel functions for time-dependent problems, Non-homogeneous PDEs, Poisson’s equation, Green’s functions for partial differential equations.
|Pre-requisites: None||Co-requisites: None|
Hours: XYZ where X = Lecture, Y = Lab, Z = Credit
All hours are per week.
3 Lab hours constitute 1 credit hour
1 credit hour implies 1 lecture of 50mins per academic week. 16 weeks in total.
Pre-Requisite courses are courses required to be completed before this course may be taken
Co-Requisite courses are courses required to be taken along with this course