An Efficient Method for the Numerical Solution of a Class of Nonlinear Fractional Fredholm Integro-Differential Equations

被引：9

作者：

Heydari, M. H. ^{[2
]}

Dastjerdi, H. Laeli ^{[1
]}

Ahmadabadi, M. Nili ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Najafabad Branch, Najafabad, Iran

[2] Shiraz Univ Technol, Dept Math, Shiraz, Iran

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2018年 / 19卷 / 02期

关键词：

MLS collocation method; nonlinear equation; fractional equation; Fredholm equation; integro-differential equation; PARTIAL-DIFFERENTIAL-EQUATIONS; INTEGRAL-EQUATIONS; COLLOCATION METHOD; INTERPOLATION;

D O I：

10.1515/ijnsns-2017-0097

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We introduce a mesh-free method, i.e., MLS collocation method for the numerical solution of a kind of nonlinear fractional Fredholm integro-differential equation. An error bound is provided for the proposed method which supports its convergence. Detailed numerical experiments approve its excellency in attaining the desired accuracy for a quite low computational cost. We have also compared linear basis with quadratic basis in terms of CPU time.

引用

页码：165 / 173

页数：9

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