Hybrid Euler-Taylor matrix method for solving of generalized linear Fredholm integro-differential difference equations

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Date

2016

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Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier Inc.

Abstract

The main purpose of this paper is to present a numerical method to solve the linear Fredholm integro-differential difference equations with constant argument under initial-boundary conditions. The proposed method is based on the Euler polynomials and collocation points and reduces the integro-differential difference equation to a system of algebraic equations. For the given method, we develop the error analysis related with residual function. Also, we present illustrative examples to demonstrate the validity and applicability of the technique. © 2015 Elsevier Inc. All rights reserved.

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Keywords

Algebra , Differential equations , Error analysis , Matrix algebra , Numerical methods , Algebraic equations , Collocation points , Differential-difference equations , Fredholm , Matrix methods , Residual error analysis , Residual functions , Taylor matrix methods , Difference equations

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15943

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Scopus Koleksiyonu