Chebyshev polynomial solution of nonlinear integral equations

DOI10.1016/j.jfranklin.2011.10.023zbMath1278.65206OpenAlexW2034868998MaRDI QIDQ378603

Changqing Yang

Publication date: 12 November 2013

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0016003211003231?np=y

zbMATH Keywords

Fredholm integral equationnumerical examplesnonlinear integral equationsVolterra integral equationChebyshev collocation method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (7)

Polynomial least squares method for the solution of nonlinear Volterra-Fredholm integral equations ⋮ Chebyshev polynomials approach for numerically solving system of two-dimensional fractional PDEs and convergence analysis ⋮ Block pulse functions for solving fractional Poisson type equations with Dirichlet and Neumann boundary conditions ⋮ A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra-Fredholm integral equations ⋮ On accurate solution of the Fredholm integral equations of the second kind ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Legendre wavelets method for the nonlinear Volterra---Fredholm integral equations
• Numerical solution of linear Fredholm and volterra integral equation of the second kind by using Legendre wavelets
• Computational Methods for Integral Equations
• Chebyshev Iteration Methods for Integral Equations of the Second Kind
• Volterra integral and differential equations

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