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A higher order kernel approach for linear fourth order boundary value problems | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 مرداد 1403 اصل مقاله (1.15 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: 49 تعداد دریافت فایل اصل مقاله: 82 |
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