Numerical solution of fractional ordinary and partial differential equations by an operational technique

被引：0

作者：

Vanani, S. Karimi ^{[1
]}

Aminataei, A. ^{[1
]}

机构：

[1] KN Toosi Univ Technol, Dept Math, Tehran, Iran

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2012年 / 14卷 / 04期

关键词：

Spectral methods; Operational approach of the Tau method; Improved algebraic formulation; Fractional ordinary differential equations; Fractional partial differential equations; HOMOTOPY-PERTURBATION METHOD; EIGENVALUE PROBLEMS; TAU-METHOD; INTEGRODIFFERENTIAL EQUATIONS; ORDER;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The purpose of this paper is to present a numerical technique for solving the fractional ordinary differential equations (FODEs) and fractional partial differential equations (FPDEs). The proposed technique is based on operational Tau method (OTM). The main idea behind the OTM is to convert the desired problem to some operational matrices. The development of the technique for FODEs and FPDEs is considered. Some linear and nonlinear experiments are applied to solve 1D and 2D fractional differential equations (FDEs) and a comparison is made between the proposed technique and the other methods. The results demonstrate the accuracy and the validity of the new technique.

引用

页码：609 / 629

页数：21

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