A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations

Year 2015, Volume: 3 Issue: 2, 44 - 54, 19.01.2015

Mehmet Balci Mehmet Sezer

Abstract

In this study, a matrix method based on exponential polynomials by means of collocation points is proposed to solvethe higher-order linear Fredholm integro-differential-difference equations under the initial-boundary conditions. In addition, an erroranalysis technique based on residual function is developed for our method. Illustrative examples are included to demostrate the validityand applicability of the presented technique

Keywords

Exponential Polynomials, Fredholm Integro-Differential-Difference Equations, Matrix Method, Residual Error Analysis

Mehmet Ali Balci1and Mehmet Sezer2

Abstract

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