Numerical Solution of Convection Diffusion Problem Using Non Standard Finite Difference Method and Comparison With Standard Finite Difference Methods
In this article we found the numerical solution of singularly perturbed one dimensional convection diffusion equation using Non Standard finite difference method by following the Mickens Rules. To compare the results with the known methods we also found solution of one dimensional convection diffusion equation using standard backward and central finite difference schemes. The work has been illustrated through the examples for different values of small parameter e, with different step lengths. The approximate solution is compared with the solution obtained by standard finite difference methods and exact solution. It has been observed that the approximate solution is an excellent agreement with exact solution. Low absolute error indicates that our numerical method is effective for solving perturbation problems.