Numerical solutions for Fredholm integral equations of the second kind with weakly singular kernel using spectral collocation method

DOI10.1016/J.AMC.2018.12.035zbMath1429.65327OpenAlexW2910219522WikidataQ128605855 ScholiaQ128605855MaRDI QIDQ2008929

Yunqing Huang, Zhuyan Tang, Yin Yang

Publication date: 26 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.12.035

zbMATH Keywords

Fredholm integral equationsspectral collocation methodsingular kernelsJacobi polynomial

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fredholm integral equations (45B05)

Related Items (4)

An \(hp\)-version Chebyshev collocation method for nonlinear fractional differential equations ⋮ High accurate convergent spectral Galerkin methods for nonlinear weakly singular Volterra integro-differential equations ⋮ Rigorous convergence analysis of Jacobi spectral Galerkin methods for Volterra integral equations with noncompact kernels ⋮ FRACTIONAL HERMITE DEGENERATE KERNEL METHOD FOR LINEAR FREDHOLM INTEGRAL EQUATIONS INVOLVING ENDPOINT WEAK SINGULARITIES

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