On solving a system of singular Volterra integral equations of convolution type

DOI10.1016/J.CNSNS.2010.12.021zbMath1222.65152OpenAlexW2050701133MaRDI QIDQ635085

Juan-Miguel Gracia

Publication date: 19 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.12.021

zbMATH Keywords

numerical examplesseries solutionsfractional differential transform methodsystem of singular Volterra integral equations of convolution type

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05)

Related Items (5)

Piecewise spectral collocation method for system of Volterra integral equations ⋮ An accurate spectral collocation method for nonlinear systems of fractional differential equations and related integral equations with nonsmooth solutions ⋮ The asymptotic approximations to linear weakly singular Volterra integral equations via Laplace transform ⋮ New solutions for system of fractional integro-differential equations and Abel's integral equations by Chebyshev spectral method ⋮ An Approximate Approach for Systems of Singular Volterra Integral Equations Based on Taylor Expansion

Cites Work

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• Numerical solution of singular Volterra integral equations system of convolution type by using operational matrices
• A new algorithm for calculating one-dimensional differential transform of nonlinear functions
• Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions
• Solution of fractional differential equations by using differential transform method
• Computational Methods for Integral Equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Product integration for Volterra integral equations of the second kind with weakly singular kernels

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