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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Volume Title
Publisher
World Scientific Publ Co Pte Ltd
Open Access Color
Green Open Access
No
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Publicly Funded
No
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
Fields of Science
0101 mathematics, 01 natural sciences
Citation
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Q2
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OpenCitations Citation Count
14
Source
Internatıonal Journal of Computatıonal Methods
Volume
15
Issue
5
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Scopus : 17
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