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

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Date

2018

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World Scientific Publ Co Pte Ltd

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Green Open Access

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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-a 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.

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Keywords

Collocation points, delay integro-differential equations, Dickson polynomials, matrix technique, residual error analysis, Differential-Difference Equations, Collocation Method, Integral-Equations, Matrix-Method, Residual Correction, Taylor Polynomials, Error Estimation, Fredholm, Legendre, Systems, Integro-ordinary differential equations, residual error analysis, Dickson polynomials, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Numerical methods for functional-differential equations, collocation points, Numerical methods for integral equations, delay integro-differential equations, matrix technique

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0101 mathematics, 01 natural sciences

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OpenCitations Citation Count
14

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Internatıonal Journal of Computatıonal Methods

Volume

15

Issue

5

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18

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