Numerical Solution of Variable-Order Time Fractional Weakly Singular Partial Integro-Differential Equations with Error Estimation

被引：14

作者：

Dehestani, Haniye ^{[1
]}

Ordokhani, Yadollah ^{[1
]}

Razzaghi, Mohsen ^{[2
]}

机构：

[1] Alzahra Univ, Fac Math Sci, Dept Math, Tehran, Iran

[2] Mississippi State Univ, Dept Math & Stat, Starkville, MS 39762 USA

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2020年 / 25卷 / 04期

关键词：

variable-order fractional partial integro-differential equations; weakly singular kernel; Legendre-Laguerre functions; pseudo-operational matrix; CONVERGENCE; DYNAMICS; VAN;

D O I：

10.3846/mma.2020.11692

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we apply Legendre-Laguerre functions (LLFs) and collocation method to obtain the approximate solution of variable-order time-fractional partial integro-differential equations (VO-TF-PIDEs) with the weakly singular kernel. For this purpose, we derive the pseudo-operational matrices with the use of the transformation matrix. The collocation method and pseudo-operational matrices transfer the problem to a system of algebraic equations. Also, the error analysis of the proposed method is given. We consider several examples to illustrate the proposed method is accurate.

引用

页码：680 / 701

页数：22

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