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Xing, W. J., Geng, Fazhan. (1404). A higher-order kernel approach for linear fourth-order boundary value problems. سامانه مدیریت نشریات علمی, 13(3), 758-767. doi: 10.22034/cmde.2024.61569.2669
W. J. Xing; Fazhan Geng. "A higher-order kernel approach for linear fourth-order boundary value problems". سامانه مدیریت نشریات علمی, 13, 3, 1404, 758-767. doi: 10.22034/cmde.2024.61569.2669
Xing, W. J., Geng, Fazhan. (1404). 'A higher-order kernel approach for linear fourth-order boundary value problems', سامانه مدیریت نشریات علمی, 13(3), pp. 758-767. doi: 10.22034/cmde.2024.61569.2669
Xing, W. J., Geng, Fazhan. A higher-order kernel approach for linear fourth-order boundary value problems. سامانه مدیریت نشریات علمی, 1404; 13(3): 758-767. doi: 10.22034/cmde.2024.61569.2669

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
مراجع
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