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

DOI10.1142/S0219876218500391zbMath1404.65327OpenAlexW2766872531MaRDI QIDQ4563179

Mehmet Sezer, Ömür Kıvanç Kürkçü, Ersin Aslan, Özgül İlhan

Publication date: 6 June 2018

Published in: International Journal of Computational Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219876218500391

zbMATH Keywords

matrix techniquecollocation pointsDickson polynomialsdelay integro-differential equationsresidual error analysis

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical methods for functional-differential equations (65L03)

Related Items

A class of computational approaches for simulating fractional functional differential equations via Dickson polynomials, Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix, The Partially Truncated Euler–Maruyama Method for Highly Nonlinear Stochastic Delay Differential Equations with Markovian Switching, A novel operational matrix for the numerical solution of nonlinear Lane-Emden system of fractional order, A novel graph-operational matrix method for solving multidelay fractional differential equations with variable coefficients and a numerical comparative survey of fractional derivative types, Numerical Solution of Second-Order Linear Delay Differential and Integro-Differential Equations by Using Taylor Collocation Method, An inventive numerical method for solving the most general form of integro-differential equations with functional delays and characteristic behavior of orthoexponential residual function

Uses Software

• Mathematica

Cites Work

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