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Numerical Solution of Singularly Perturbed BVPs using an Optimal Fitted One-Step Integration Scheme via Initial Value Method

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In this paper, a numerical solution of singularly perturbed BVPs (SPBVPs) using an optimal fitted one-step integration scheme via initial value method is present. The original second order SPBVP is… Click to show full abstract

In this paper, a numerical solution of singularly perturbed BVPs (SPBVPs) using an optimal fitted one-step integration scheme via initial value method is present. The original second order SPBVP is replaced by an asymptotically approximate first order initial value singularly perturbed problem (IVSPP) and solved using an optimal fitted one-step integration scheme. The error analysis is present. Some SPBVPs are solved and the numerical results confirm that the suggested method is accurate and efficient in solving the considered problems.

Keywords: step integration; singularly perturbed; fitted one; optimal fitted; one step; using optimal

Journal Title: International journal of engineering research and technology
Year Published: 2020

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