A semi-analytical algorithm to solve systems of integro-differential equations under mixed boundary conditions

DOI10.1016/j.cam.2016.11.029zbMath1357.65320OpenAlexW2557755789MaRDI QIDQ507964

Abdul-Majid Wazwaz, Samad Kheybari, Mohammad Taghi Darvishi

Publication date: 9 February 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.11.029

zbMATH Keywords

error functionconvergencenumerical examplesystem of integro-differential equationsnonlinearlinearresidual functionmixed boundary conditionCPU timeFredholm-Volterra integro-differential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05) Volterra integral equations (45D05) Linear integral equations (45A05)

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Cites Work

• Legendre wavelets operational method for the numerical solutions of nonlinear Volterra integro-differential equations system
• Numerical solution of system of nonlinear second-order integro-differential equations
• A new iterative technique for solving nonlinear second order multi-point boundary value problems
• System of linear second order Volterra integro-differential equations using single term Walsh series technique
• Solving linear integro-differential equation system by Galerkin methods with hybrid functions
• He's homotopy perturbation method for systems of integro-differential equations
• Solving linear integro-differential equations system by using rationalized Haar functions method
• A Bernstein operational matrix approach for solving a system of high order linear Volterra-Fredholm integro-differential equations
• Numerical solutions of systems of high-order Fredholm integro-differential equations using Euler polynomials
• Solutions of integral and integro-differential equation systems by using differential transform method
• Chebyshev polynomial solutions of systems of higher-order linear Fredholm-Volterra integro-differential equations.
• Numerical solution of the system of Fredholm integro-differential equations by the tau method
• Taylor collocation method for solution of systems of high-order linear Fredholm–Volterra integro-differential equations
• Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method

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