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  • Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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1 August 2011

Hermite Series Solutions of Linear Fredholm Integral Equations

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Department of Mathematics, Faculty of Science and Arts, Celal Bayar University, 45047 Muradiye, Manisa, Turkey
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Math. Comput. Appl.2011, 16(2), 497-506;https://doi.org/10.3390/mca16020497
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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.

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