Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem
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Publication:1624636
DOI10.1016/j.cam.2018.07.010zbMath1451.65240OpenAlexW2885093281MaRDI QIDQ1624636
Gnaneshwar Nelakanti, Bijaya Laxmi Panigrahi, Moumita Mandal
Publication date: 16 November 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.07.010
Fredholm integral equationseigenvalue problemweakly singular kernelLegendre spectral methodsmulti-Galerkin methods
Related Items (14)
Combined Legendre Spectral-Finite Element Methods for Two-Dimensional Fredholm Integral Equations of the Second Kind ⋮ Convergence analysis of Jacobi spectral collocation methods for weakly singular nonlocal diffusion equations with volume constraints ⋮ AN EFFECTIVE AND SIMPLE SCHEME FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS ⋮ Superconvergence of Legendre spectral projection methods for \(m\)th order integro-differential equations with weakly singular kernels ⋮ Solving two-dimensional nonlinear Fredholm integral equations using rationalized Haar functions in the complex plane ⋮ Approximation methods for system of linear Fredholm integral equations of second kind ⋮ Superconvergence results for the nonlinear Fredholm-Hammerstein integral equations of second kind ⋮ Mixed Fourier Legendre spectral Galerkin methods for two-dimensional Fredholm integral equations of the second kind ⋮ Approximation methods for second kind weakly singular Volterra integral equations ⋮ The economized monic Chebyshev polynomials for solving weakly singular Fredholm integral equations of the first kind ⋮ Convergence analysis for derivative dependent Fredholm-Hammerstein integral equations with Green's kernel ⋮ Convergence analysis of Galerkin and multi-Galerkin methods on unbounded interval using Hermite polynomials ⋮ Chebyshev spectral projection methods for Fredholm integral equations of the second kind ⋮ Chebyshev spectral projection methods for two-dimensional Fredholm integral equations of second kind
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