A higher-order kernel approach for linear fourth-order boundary value problems

Xing, W. J.; Geng, Fazhan

doi:10.22034/cmde.2024.61569.2669

A higher-order kernel approach for linear fourth-order boundary value problems

Document Type : Research Paper

Authors

W. J. Xing ¹
Fazhan Geng ²

¹ Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, PR China.

² Department of Mathematics, Nanjing University, Nanjing, Jiangsu 210093, PR China.

10.22034/cmde.2024.61569.2669

Abstract

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.

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Main Subjects