A Direct Analytic Method for Solution of Linear Fredholm Integral and Integro-differential Equations of the Second Kind

Authors

  • Hamidreza Navabpour Yazd University
  • Farid Maalek

DOI:

https://doi.org/10.30495/jme.v9i0.249

Keywords:

Fredholm integral equations (F.I.E.), Fredholm integro-differential equations (F.I.D.E.), Integral operators, Basis functions.

Abstract

Abstract:

In this paper, a direct analytic method is given for the solution

of the linear Fredholm integral and integro-differential equations of the

second kind, which is based on the span of the known function, under the

action of the operator defined by the kernel. The necessary conditions for

using this method are so weak that extends its applicability. The solved

xamples show the strength of this method.

 

 

 

 

 

 

 

 

 

Author Biography

Hamidreza Navabpour, Yazd University

Applied Mathematics Group,

Faculty of Mathematics,

Yazd University,

Yazd, Iran

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Published

2015-06-28

Issue

Vol. 9

Section

Vol. 9, No. 2, (2015)

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