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Non-standard finite difference scheme for system of singularly perturbed Fredholm integro-differential equations | ||
| Journal of Mathematical Modeling | ||
| مقاله 8، دوره 13، شماره 4، اسفند 2025، صفحه 865-882 اصل مقاله (520.48 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.30538.2740 | ||
| نویسندگان | ||
| P. Antony Prince1؛ Lolugu Govindarao* 1؛ Sekar Elango2 | ||
| 1Department of Mathematics, Amrita School of Physical Science, Coimbatore, Amrita Vishwa Vidyapeetham, India | ||
| 2Department of Mathematics, Amrita School of Physical Science, Coimbatore, Amrita Vishwa Vidyapeetham, India | ||
| چکیده | ||
| This article solves computationally a system of reaction-diffusion singularly perturbed Fredholm integro-differential equations. A non-standard finite difference approach applies the derivative components, whereas the composite trapezoidal rule handles the integral components. The proposed computational method for a system of reaction-diffusion singularly perturbed Fredholm integro-differential equations exhibits a convergence rate of order two. An computational example is provided to substantiate the efficacy of the theoretical results. | ||
| کلیدواژه‌ها | ||
| Singular perturbation؛ coupled system؛ fitted operator؛ Fredholm integral؛ boundary layer | ||
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