Chelyshkov collocation method for solving the two-dimensional Fredholm-Volterra integral equations

DOI10.1007/s40819-017-0433-2zbMath1383.65153OpenAlexW2772607994MaRDI QIDQ1700467

Peng Zhang

Publication date: 6 March 2018

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-017-0433-2

zbMATH Keywords

numerical exampletwo-dimensional Fredholm-Volterra integral equationsChelyshkov collocation methodtwo-dimensional Chelyshkov polynomials

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (6)

Chelyshkov polynomials strategy for solving 2-dimensional nonlinear Volterra integral equations of the first kind ⋮ Numerical solution of fractional order Fredholm integro-differential equations by spectral method with fractional basis functions ⋮ An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions ⋮ Chelyshkov collocation approach for solving linear weakly singular Volterra integral equations ⋮ Convergence and stability of spectral collocation method for hyperbolic partial differential equation with piecewise continuous arguments ⋮ THE NUMERICAL TREATMENT OF NONLINEAR FRACTAL–FRACTIONAL 2D EMDEN–FOWLER EQUATION UTILIZING 2D CHELYSHKOV POLYNOMIALS

Cites Work

• Unnamed Item
• A numerical method for solving Fredholm-Volterra integral equations in two-dimensional spaces using block pulse functions and an operational matrix
• Alternative orthogonal polynomials and quadratures
• A product integration approach based on new orthogonal polynomials for nonlinear weakly singular integral equations
• The solution of contact problems of creep theory for combined ageing foundations
• Asymptotic bounds for solutions to a system of damped integrodifferential equations of electromagnetic theory
• On the inverse potential problem of electrocardiology
• On an integral equation for axially-symmetric problems in the case of an elastic body containing an inclusion
• Chelyshkov collocation method for a class of mixed functional integro-differential equations
• The spectral method for solving sine-Gordon equation using a new orthogonal polynomial
• Structured matrix algorithms for inverse scattering on the line
• Singular perturbation solution of a class of singular integral equations

This page was built for publication: Chelyshkov collocation method for solving the two-dimensional Fredholm-Volterra integral equations