A sixth order kernel functions approach for nonlinear fourth order boundary value problems

IF 2.4 3区数学 Q1 MATHEMATICS

Journal of Applied Mathematics and Computing Pub Date : 2024-08-03 DOI:10.1007/s12190-024-02210-4

F. Z. Geng, C. N. Li, X. Y. Wu

引用次数: 0

Abstract

In this paper, based on the reproducing kernel functions and iterative technique, a new sixth order iterative numerical scheme is presented for nonlinear fourth order boundary value problems(FOBVPs). Compared with the existing reproducing kernel functions based numerical techniques for boundary value problems, the present approach is implemented by using the reproducing kernel functions of the reproducing kernel Hilbert space with lower regularity. This leads to good stability of the proposed technique. The results of numerical examples also demonstrate that our approach has higher accuracy for nonlinear FOBVPs.

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非线性四阶边界值问题的六阶核函数方法

本文基于重现核函数和迭代技术，针对非线性四阶边界值问题（FOBVPs）提出了一种新的六阶迭代数值方案。与现有的基于重现核函数的边界值问题数值技术相比，本方法是通过使用具有较低正则性的重现核希尔伯特空间的重现核函数来实现的。这使得所提出的技术具有良好的稳定性。数值示例的结果也证明，我们的方法对非线性 FOBVP 具有更高的精度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Applied Mathematics and Computing Mathematics-Computational Mathematics

CiteScore

4.20

自引率

4.50%

发文量

131

期刊介绍： JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.