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Adaptive stepsize optimized three-step hybrid block method for first-order initial value problems | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 تیر 1405 اصل مقاله (1.85 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.67304.3197 | ||
| نویسندگان | ||
| Adebayo Abiodun Aderogba* 1؛ Higinio Ramos2 | ||
| 1Department of Mathematics, Obafemi Awolowo University, Ile-Ife, 220005, Nigeria. | ||
| 2Escuela Politécnica Superior de Zamora, University of Salamanca, Salamanca, Spain. | ||
| چکیده | ||
| In this paper, an efficient numerical solver based on a hybrid optimized block method is constructed and analyzed for approximating solutions of first-order initial value problems. The scheme is designed in such a way that each block contains three steps with three off-step points. To enhance its efficiency, we introduce simplified formulations of the underlying equations and employ an adaptive step-size strategy based on local error estimates. We establish the stability region, the order of consistency, and the convergence properties of the method. The effectiveness of the proposed approach is demonstrated through its application to several test problems. | ||
| کلیدواژهها | ||
| ODEs؛ Hybrid method؛ Block method؛ Optimization strategy؛ Variable step-size formulation | ||
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آمار تعداد مشاهده مقاله: 27 تعداد دریافت فایل اصل مقاله: 45 |
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