A Numerical Approach for Solving High-Order Linear Delay Volterra Integro-Differential Equations

DOI10.1142/S0219876218500421zbMath1404.65337OpenAlexW2768390299MaRDI QIDQ4563184

Murat Karaçayır, Şuayip Yüzbaşı

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/s0219876218500421

zbMATH Keywords

inner productGalerkin-type methodVolterra delay integro-differential equationsresidual error correction

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for functional-differential equations (65L03)

Related Items (6)

A Galerkin-type approach to solve systems of linear Volterra-Fredholm integro-differential equations ⋮ Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays ⋮ Lerch matrix collocation method for 2D and 3D Volterra type integral and second order partial integro differential equations together with an alternative error analysis and convergence criterion based on residual functions ⋮ A block-by-block approach for nonlinear fractional integro-differential equations ⋮ The Partially Truncated Euler–Maruyama Method for Highly Nonlinear Stochastic Delay Differential Equations with Markovian Switching ⋮ Numerical Solution of Second-Order Linear Delay Differential and Integro-Differential Equations by Using Taylor Collocation Method

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