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Solution of high-order linear Fredholm integro-differential equations with piecewise intervals

✍ Scribed by Nurcan Baykus; Mehmet Sezer

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

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✦ Synopsis

In this study, a practical matrix method is presented to find an approximate solution for high-order linear Fredholm integro-differential equations with piecewise intervals under the initial boundary conditions in terms of Taylor polynomials. The method converts the integro differential equation to a matrix equation, which corresponds to a system of linear algebraic equations. Error analysis and illustrative examples are included to demonstrate the validity and applicability of the technique.

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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 co