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

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

Öz

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