Piecewise homotopy perturbation method for solving linear and nonlinear weakly singular VIE of second kind

DOI10.1016/j.amc.2011.02.086zbMath1221.65328OpenAlexW1976734729MaRDI QIDQ544082

Zhong Chen, Wei Jiang

Publication date: 14 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.086

zbMATH Keywords

Volterra integral equationstrongly nonlinearweakly singularhomotopy perturbation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05) Linear integral equations (45A05)

Related Items

Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method ⋮ A meshless discrete Galerkin (MDG) method for the numerical solution of integral equations with logarithmic kernels ⋮ Numerical algorithm for nonlinear fractional equations with nonlocal boundary conditions based on a modified minimum residual method ⋮ Unnamed Item ⋮ A new method of solving the best approximate solution for a nonlinear fractional equation ⋮ Convergence and error estimation of homotopy perturbation method for Fredholm and Volterra integral equations ⋮ Error analysis of Jacobi spectral Galerkin and multi-Galerkin methods for weakly singular Volterra integral equations

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