| Abstract: |
| This article presents an efficient numerical method for solving a weakly coupled system of singularly perturbed delay differential equations. The technique involves approximating the first-order derivative in the system using a Taylor series, followed by applying the Numerov method. A scheme incorporating a fitting factor is developed to solve the problem. To evaluate the method`s accuracy, error estimation is performed using the maximum principle, and theoretical justifications are provided through relevant numerical examples with varying perturbation parameters and mesh sizes. The numerical results are expressed in terms of maximum absolute errors and the rate of convergence. Our approach is shown to be uniformly convergent to the first order, as demonstrated by the tabulated values. Compared to previously published methodologies, this approach yields improved results and makes a valuable contribution to the existing literature. |
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