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A difference scheme using a parametric spline for differential difference equation with twin layers | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 193، دوره 14، شماره 1، فروردین 2023، صفحه 2469-2479 اصل مقاله (581.61 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28237.3841 | ||
| نویسندگان | ||
| B.S.L. Soujanya G1؛ Kumar Ragula2؛ Phaneendra K* 3 | ||
| 1Department of Mathematics, University College for Women, Kakatiya University, Warangal, India | ||
| 2Department of Mathematics, Rajiv Gandhi University of Knowledge and Technologies, Basar, India | ||
| 3Department of Mathematics, University College of Science, Osmania University, Hyderabad, India | ||
| تاریخ دریافت: 07 شهریور 1401، تاریخ بازنگری: 30 آذر 1401، تاریخ پذیرش: 03 دی 1401 | ||
| چکیده | ||
| In this study, a parametric spline approach is used to evaluate the solution of differential-difference equations with delay and advanced parameters having twin layers. Using the continuity condition of the first-order derivative of the spline at the interior node, the difference scheme is derived. Thenon-standard finite differences for the first derivatives are employed in the scheme to increase the precision of the solution. According to an analysis of the suggested approach, its fourth-order convergence is established. Maximum absolute errors for the examples chosen from the literature are tabulated. To demonstrate the effectiveness of the method, numerical results are shown along with comparisons to other methods. | ||
| کلیدواژهها | ||
| Differential-difference equation؛ Twin layers؛ Parametric spline؛ Maximum error | ||
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