A Jacobi-collocation method for solving second kind Fredholm integral equations with weakly singular kernels

DOI10.1007/s11425-014-4806-2zbMath1302.35381OpenAlexW2071860534MaRDI QIDQ477290

Haotao Cai

Publication date: 3 December 2014

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-014-4806-2

zbMATH Keywords

convergence analysisstability analysisJacobi-collocation methodssecond kind Fredholm integral equations with weakly singular kernels

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Free boundary problems for PDEs (35R35) Partial differential equations of mathematical physics and other areas of application (35Q99) Integral equations with kernels of Cauchy type (45E05)

Related Items (8)

A Legendre–Petrov–Galerkin method for solving Volterra integro-differential equations with proportional delays ⋮ Error analysis of Jacobi spectral collocation methods for Fredholm-Hammerstein integral equations with weakly singular kernel ⋮ A fractional order collocation method for second kind Volterra integral equations with weakly singular kernels ⋮ Convergence analysis of generalized Jacobi-Galerkin methods for second kind Volterra integral equations with weakly singular kernels ⋮ A Jacobi-collocation method for second kind Volterra integral equations with a smooth kernel ⋮ A Legendre-Galerkin method for solving general Volterra functional integral equations ⋮ Multiscale approximation of the solution of weakly singular second kind Fredholm integral equation in Legendre multiwavelet basis ⋮ A fractional spectral collocation for solving second kind nonlinear Volterra integral equations with weakly singular kernels

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