Sinc collocation approximation of non-smooth solution of a nonlinear weakly singular Volterra integral equation

DOI10.1016/j.jcp.2010.05.010zbMath1197.65232OpenAlexW2041936508MaRDI QIDQ995269

Mitra Navab, Gholam-Ali Zakeri

Publication date: 13 September 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.05.010

zbMATH Keywords

convergencenumerical resultserror analysisweakly singular kernelsinc collocation methodnonlinear singular Volterra integral equation of second kindWhittaker's cardinal function

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05)

Related Items (14)

Solution of nonlinear weakly singular Volterra integral equations using the fractional-order Legendre functions and pseudospectral method ⋮ A kernel-independent sum-of-exponentials method ⋮ Unnamed Item ⋮ Finite element approximation for Maxwell's equations with Debye memory under a nonlinear boundary feedback with delay ⋮ Using Sinc-collocation method for solving weakly singular Fredholm integral equations of the first kind ⋮ A Jacobi-collocation method for second kind Volterra integral equations with a smooth kernel ⋮ Application of sinc-collocation method for solving a class of nonlinear Fredholm integral equations ⋮ Solving Fredholm integral equations of the first kind by using wavelet bases ⋮ Numerical solution of system of Volterra integral equations with weakly singular kernels and its convergence analysis ⋮ Piecewise homotopy perturbation method for solving linear and nonlinear weakly singular VIE of second kind ⋮ The impact of two transformations on the solutions of second kind Fredholm integral equations system ⋮ A computational approach for the non-smooth solution of non-linear weakly singular Volterra integral equation with proportional delay ⋮ Application of Sinc on the Multi-Order Fractional Differential Equations ⋮ Fractional calculus and Sinc methods

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