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A Hermite collocation method for the approximate solutions of high-order linear Fredholm integro-differential equations

✍ Scribed by Nilay Akgönüllü; Niyazi Şahin; Mehmet Sezer

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
221 KB
Volume
27
Category
Article
ISSN
0749-159X

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✦ Synopsis

In this study, a Hermite matrix method is presented to solve high-order linear Fredholm integro-differential equations with variable coefficients under the mixed conditions in terms of the Hermite polynomials. The proposed method converts the equation and its conditions to matrix equations, which correspond to a system of linear algebraic equations with unknown Hermite coefficients, by means of collocation points on a finite interval. Then, by solving the matrix equation, the Hermite coefficients and the polynomial approach are obtained. Also, examples that illustrate the pertinent features of the method are presented; the accuracy of the solutions and the error analysis are performed.

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