Numerical Solution of Diffusion Equation in One Dimension

ABSTRACT: In this thesis we studied the numerical techniques for the solution of one dimensional diffusion equations. The discrete approximation of the model problem is based on different finite difference schemes. These schemes are the Explicit, Implicit, Crank Nicolson and the Weighted Average schemes. For each finite difference method we studied the local truncation error, consistency and numerical results from the solution of two model problems are considered to evaluate the performance of each scheme according to the accuracy and programming efforts. Kay word: Diffusion equation, Finite difference method, Truncation error, Stability, Consistency, Convergence. …………………………………………………………………………………………………………………………