Iterative numerical method for fractional order two-point boundary value problems

IF 1.4 4区数学 Q1 MATHEMATICS

Carpathian Journal of Mathematics Pub Date : 2021-11-15 DOI:10.37193/cjm.2022.01.05

A. Bica

引用次数: 1

Abstract

In this paper we develop an iterative numerical method based on Bernstein splines for solving two-point boundary problems associated to differential equations of fractional order $\alpha\in\left( 0,1\right) $. The convergence of the method is proved by providing the error estimate and it is tested on a numerical example.

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分数阶两点边值问题的迭代数值方法

本文提出了一种基于Bernstein样条的迭代数值方法，用于求解分数阶微分方程的两点边界问题$\alpha\in\left( 0,1\right) $。通过给出误差估计，证明了该方法的收敛性，并通过数值算例进行了验证。

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

Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.