Research on One-dimensional Singular Perturbation Equation High Precision Scheme Based on MATLAB
In order to study a more accurate numerical solution of singular perturbation equation,this paper studies three numerical solutions of traditional central difference scheme,upwind scheme and high order precision scheme.It uses MATLAB software to solve the one-dimensional singularly perturbed convection-diffusion equations for example and visualization,compares and studies the results of solving equations with different methods.Through the analysis of the results of numerical examples,it is found that under any grid,when the perturbation parameter approaches 0,the accuracy and stability of solution with high order precision scheme are significantly improved compared with traditional solution schemes,which makes the method selection of solving singular perturbation equation be more targeted.
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