Collocation Method for Solving Two-Dimensional Fractional Volterra Integro-Differential Equations

被引：2

作者：

Kazemi, S. ^{[1
]}

Tari, A. ^{[1
]}

机构：

[1] Shahed Univ, Dept Math, Tehran, Iran

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2022年 / 46卷 / 06期

关键词：

Two-dimensional integro-differential equations; Fractional operators; Collocation method; Convergence; NUMERICAL-SOLUTION; INTEGRAL-EQUATIONS; CONVERGENCE; ORDER;

D O I：

10.1007/s40995-022-01346-x

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, the collocation method is extended for solving two-dimensional fractional Volterra integro-differential equations (2D-FVIDEs). First, some theoretical results are presented to extend the collocation method to 2D-FVIDEs and to obtain corresponding linear algebraic system of equations. Then, it is proved the resulted linear system has a unique solution which shows the solution obtained from collocation method is unique. The convergence of the proposed method is also proved. Finally, some examples are given to illustrate the efficiency and accuracy of the proposed method.

引用

页码：1629 / 1639

页数：11

共 21 条

[11] Numerical solution based on two-dimensional orthonormal Bernstein polynomials for solving some classes of two-dimensional nonlinear integral equations of fractional order [J].