Fitted Operator Method Using Multiple Fitting Factors for Two Parameters Singularly Perturbed Parabolic Problems

نویسندگان

چکیده

In this paper, we produce ? , ? ? uniform numerical method for a singularly perturbed parabolic differential equation with two parameters. To approximate the solution, consider implicit Euler time direction, finite difference spatial direction on mesh, and fitted operator multiple fitting factors. accelerate convergence of method, Richardson extrapolation is applied. The results show that proposed second-order convergent in both temporal directions. scheme insensitive to perturbation Two model examples are considered validate applicability produced more accurate compared some methods appear literature. Matlab software used manipulate results.

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ژورنال

عنوان ژورنال: Mathematical Problems in Engineering

سال: 2022

ISSN: ['1026-7077', '1563-5147', '1024-123X']

DOI: https://doi.org/10.1155/2022/6267522