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