Application of Euler Matrix Method for Solving Linear and a Class of Nonlinear Fredholm Integro-Differential Equations

The main aim of this paper is to apply a novel matrix method to compute analytic approximate solutions for the Fredholm integro-differential equations under mixed conditions. Our approach consists of reducing the problem to a set of algebraic equations by expanding the approximate solution in terms...

Full description

Saved in:
Bibliographic Details
Published inMediterranean journal of mathematics Vol. 11; no. 3; pp. 999 - 1018
Main Authors Mirzaee, Farshid, Bimesl, Saeed
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.08.2014
Subjects
Mathematics
Mathematics and Statistics
45G10
65D30
Euler polynomials solutions
Fredholm integro-differential equations
45B05
65R20
45J05
Euler matrix method
Euler polynomials and series
Online AccessGet full text
ISSN1660-5446
1660-5454
DOI10.1007/s00009-014-0391-4

Cover

More Information
Summary:The main aim of this paper is to apply a novel matrix method to compute analytic approximate solutions for the Fredholm integro-differential equations under mixed conditions. Our approach consists of reducing the problem to a set of algebraic equations by expanding the approximate solution in terms of Euler polynomials. The introduced approach is applied to already worked problems in the literature by means of different numerical methods. Comparisons clearly show that our scheme is better and even more superior as compared to the existing ones.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-014-0391-4