Work

Spectral solution of fractional fourth order partial integro-differential equations

Year: 2019

Type: article

Abstract: In this paper, mixed spectral method is applied to solve the fractional fourth order partial integro-differential equations together with weak singularity. Eigenfunctions of the fourth order self-adjoint positive-definite differential operator are used for the discretization of spatial variable and its derivatives. Also, shifted Legendre polynomials are applied to the discretization of time variable. Numerical results are presented for some problems to demonstrate the usefulness and accuracy of this approach. The method is easy to apply and produces very accurate numerical results.

Source: Computational methods for differential equations

Authors: Hamed Bazgir, Bahman Ghazanfari

Institution: Lorestan University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2941817907

FWCI: 0.119

Cites:

Cited by: 2

Related to: 10