Math 513 Matlab Scripts

 

fourier_series.m (Gibbs Phenomena)
Problem_5_1_2.m (Plot Fourier transform amplitude and phase)
Problem_5_3_6.m (Plot effect of modulation)
Problem_5_5_2.m (Symbolic integration for Convolution)
Wave equation (Wave propagation)
Wave equation D'Lambert solution.
Heat equation u(0,t) = u(L,t) = 0, u(x,0) = x (pi -x)  (Dirichlet problem)
Heat equation ux(0,t) = u(L,t) = 0, u(x,0) = x, (Insulated end)
Heat equation u(0,t) = 0, u(L,t) = const, u(x,0) = 0, (Constant end)
Heat equation ux(0,t) = ux(L,t) = 0, u(x,0) = x, (Neumann Problem)
Heat Equation Solution of Heat equation with u(0,t) = 0, u(L,t) = const, u(x,0) = 0, using Laplace Transform.  Error function solution
Heat Equation Solution of Heat equation on infinite interval with u(x,0) = constant, using Fourier transform.
Laplace Equation u(x,z0) = gz0 + gcx, ux(0,y) = ux(L, y) = 0, uy(x,0) = 0.