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Math. Comput. Appl. 2011, 16(2), 497-506; doi:10.3390/mca16020497

Hermite Series Solutions of Linear Fredholm Integral Equations

Department of Mathematics, Faculty of Science and Arts, Celal Bayar University, 45047 Muradiye, Manisa, Turkey
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Published: 1 August 2011
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Abstract

A matrix method for approximately solving linear Fredholm integral equations of the second kind is presented. The solution involves a truncated Hermite series approximation. The method is based on first taking the truncated Hermite series expansions of the functions in equation and then substituting their matrix forms into the equation. Thereby the equation reduces to a matrix equation, which corresponds to a linear system of algebraic equations with unknown Hermite coefficients. In addition, some equations considered by other authors are solved in terms of Hermite polynomials and the results are compared.
Keywords: Hermite series; Linear Fredholm integral equations Hermite series; Linear Fredholm integral equations
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Yalçınbaş, S.; Aynigül, M. Hermite Series Solutions of Linear Fredholm Integral Equations. Math. Comput. Appl. 2011, 16, 497-506.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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