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A higher-order kernel approach for linear fourth-order boundary value problems | ||
| Computational Methods for Differential Equations | ||
| مقاله 3، دوره 13، شماره 3، مهر 2025، صفحه 758-767 اصل مقاله (1.03 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.61569.2669 | ||
| نویسندگان | ||
| W. J. Xing1؛ Fazhan Geng* 2 | ||
| 1Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, PR China. | ||
| 2Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, PR China. | ||
| چکیده | ||
| This paper aims at finding high-order convergent numerical approach to solve fourth-order linear boundary value problems (BVPs). By employing the good property of reproducing kernel functions (RKFs), a new collocation technique is proposed. The present approach can give highly accurate numerical solutions to fourth-order BVPs. Some numerical experiments are performed and compared with other approaches to indicate the validity of the proposed technique. | ||
| کلیدواژهها | ||
| Kernel functions؛ Linear fourth-order BVPs؛ Higher-order method | ||
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آمار تعداد مشاهده مقاله: 92 تعداد دریافت فایل اصل مقاله: 131 |
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