| Abstract: |
| An approximation technique for singularly perturbed differential equations with a large positive shift parameter is presented in this article. The recommended numerical scheme is solved using the Gauss elimination method in MATLAB R2022a. The proposed scheme achieves a linear rate of convergence on a uniform grid. The convergence results, both theoretical and numerical, have been demonstrated and confirmed to be consistent with the proposed scheme. A few examples are provided in tables and charts to compute and demonstrate the theoretical analysis results. When compared to existing literature, our method produces better outcomes with lower error rates for the specified examples. |
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