A Numerical Approach Technique for Solving Generalized Delay Integro-Differential Equations with Functional Bounds by Means of Dickson Polynomials

Author:

Kürkçü Ömür Kıvanç1,Aslan Ersin2,Sezer Mehmet3,İlhan Özgül4

Affiliation:

1. Department of Mathematics, Izmir University, of Economics, Izmir 35330, Turkey

2. Turgutlu Vocational Training School, Manisa Celal Bayar University, Manisa, Turkey

3. Department of Mathematics, Manisa Celal Bayar University, Manisa 45140, Turkey

4. Department of Mathematics, Muǧla Sıtkı Koçman University, Muǧla, Turkey

Abstract

In this study, we have considered the linear classes of differential-(difference), integro-differential-(difference) and integral equations by constituting a generalized form, which contains proportional delay, difference, differentiable difference or delay. To solve the generalized form numerically, we use the efficient matrix technique based on Dickson polynomials with the parameter-[Formula: see text] along with the collocation points. We also encode the useful computer program for susceptibility of the technique. The residual error analysis is implemented by using the residual function. The consistency of the technique is analyzed. Also, the numerical results illustrated in tables and figures are compared.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

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