Reproducing kernel method to solve non-local fractional boundary value problem

被引：5
|
作者：
Hosseiny, Raziye Mohammad [1 ]
Allahviranloo, Tofigh [1 ]
Abbasbandy, Saeid [2 ]
Babolian, Esmail [3 ]
机构：
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
[2] Imam Khomeini Int Univ, Fac Sci, Dept Appl Math, Qazvin 3414916818, Iran
[3] Kharazmi Univ, Fac Math Sci & Comp, Comp Sci Dept, Tehran, Iran
来源：
MATHEMATICAL SCIENCES | 2022年 / 16卷 / 03期
关键词：
Fractional differential equations; Non-local boundary value problem; Caputo fractional derivative; Reproducing kernel method; Error analysis; DIFFERENTIAL-DIFFERENCE EQUATIONS; INTEGRAL-EQUATIONS; 2ND KIND; ORDER; MODEL;
D O I：
10.1007/s40096-021-00418-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a numerical scheme to solve non-local fractional boundary value problems (NFBVPs) through a different implementation of the general form of the reproducing kernel method (RKM) similar to the method eliminating the Gram-Schmidt orthogonalization process to reduce the CPU time. The presented method provides a reliable technique to obtain a reproducing kernel applicable to non-local conditions of the fractional boundary value problems with the aim of increasing the accuracy of the approximate solutions. Therefore, it would be possible to provide a valid error analysis for NFBVP and the presented method. The accuracy of theoretical results is illustrated by solving two numerical examples.
引用
收藏
页码：261 / 268
页数：8
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