Solution of nonlinear weakly singular Volterra integral equations using the fractional-order Legendre functions and pseudospectral method-Reference-Cited by-同舟云学术

Solution of nonlinear weakly singular Volterra integral equations using the fractional-order Legendre functions and pseudospectral method

Published:2015-11-26 Issue:12 Volume:39 Page:3411-3425
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Eshaghi Jafar¹,Adibi Hojatollah¹,Kazem Saeed¹

Affiliation:

1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science; Amirkabir University of Technology; No. 424, Hafez Ave. 15914 Tehran Iran

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference50 articles.

1. Spectral Methods

2. An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics;Fakhar-Izadi;Mathematical Methods in the Applied Sciences,2013

3. Collocation Methods for Volterra Integral and Related Functional Differential Equations

4. A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations;Bhrawy;Applied Mathematical Modelling,2013

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