Application of the Chebyshev polynomial in solving Fredholm integral equations

DOI10.1016/J.MCM.2008.10.007zbMath1185.45001OpenAlexW2095333949MaRDI QIDQ969902

Yu-Cheng Liu

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2008.10.007

zbMATH Keywords

numerical methodcollocation methodChebyshev polynomialsFredholm integral equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fredholm integral equations (45B05) Applications of hypergeometric functions (33C90)

Related Items (9)

Approximate solution of three-point boundary value problems for second-order ordinary differential equations with variable coefficients ⋮ Higher order Haar wavelet method for numerical solution of integral equations ⋮ A new Nyström-type method for Fredholm integral equations of the second kind ⋮ Unnamed Item ⋮ Improved variational iteration method for solving a class of nonlinear Fredholm integral equations ⋮ The reverse interpolation and its application in the numerical solutions of Fredholm integral equations of the second kind ⋮ On the numerical solution of weakly singular Fredholm integral equations of the second kind using Legendre wavelets ⋮ Application of radial basis function method for solving nonlinear integral equations ⋮ A multidimensional reverse interpolation method and its application in solving the multidimensional Fredholm integral equations

Cites Work

• Discussion on convergence of Legendre polynomial for numerical solution of integral equations
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