Application of Chebyshev, and Legendre polynomials on discrete point set to function interpolation and solving Fredholm integral equations

DOI10.1016/S0010-4655(99)00520-2zbMath0963.65143OpenAlexW2042952898MaRDI QIDQ1973541

I. P. Streltsov

Publication date: 19 June 2001

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(99)00520-2

zbMATH Keywords

Chebyshev polynomialsFredholm integral equationsill-posed problemsLegendre polynomialsseries expansionsorthogonal polynomials on discrete sets

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05)

Related Items (8)

Numerical solution of fractional partial differential equations with variable coefficients using generalized fractional-order Legendre functions ⋮ A matrix method for solving high-order linear difference equations with mixed argument using hybrid Legendre and Taylor polynomials ⋮ Solution of nonlinear Volterra-Fredholm integrodifferential equations via hybrid of block-pulse functions and Lagrange interpolating polynomials ⋮ Solving high-order linear differential equations by a Legendre matrix method based on hybrid Legendre and Taylor polynomials ⋮ Comparison of Legendre polynomial approximation and variational iteration method for the solutions of general linear Fredholm integro-differential equations ⋮ Legendre polynomial solutions of high-order linear Fredholm integro-differential equations ⋮ The numerical solution of the non-linear integro-differential equations based on the meshless method ⋮ Legendre Collocation Method to Solve the Riccati Equations with Functional Arguments

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