Numerical solution of nonlinear Fredholm integral equations by using multiwavelets in the Petrov-Galerkin method

DOI10.1016/j.amc.2004.08.047zbMath1082.65597OpenAlexW1996140377MaRDI QIDQ2572657

Yanyan Li

Publication date: 4 November 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2004.08.047

zbMATH Keywords

multiwaveletsnonlinear Fredholm integral equationsHammerstein equationsRegular pairsnumerical eamplesThe wavelet Petrov-Galerkin method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical quadrature and cubature formulas (65D32) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (11)

Numerical approximation of the space-time Caputo-Fabrizio fractional derivative and application to groundwater pollution equation ⋮ Using the Petrov-Galerkin elements for solving Hammerstein integral equations ⋮ A new mechanical algorithm for solving the second kind of Fredholm integral equation ⋮ Computational methods for integrals involving functions and Daubechies wavelets ⋮ Using the improved Petrov-Galerkin elements \(k-0\) for solving nonlinear Hammerstein-Fredholm integral equations ⋮ Approximate Solution of the Nonlinear Fredholm Integral Equation of the Second Kind ⋮ About a numerical method of successive interpolations for functional Hammerstein integral equations ⋮ The numerical method of successive interpolations for Fredholm functional integral equations ⋮ Numerical approach for solving neutral differential equation with deviating argument ⋮ Numerical solution of volterra functional integral equation by using cubic B‐spline scaling functions ⋮ Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets

Cites Work

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• The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes
• Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse functions.
• Taylor polynomial solution of high-order nonlinear Volterra-Fredholm integro-differential equations
• Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions.
• Numerical solution of linear Fredholm and volterra integral equation of the second kind by using Legendre wavelets
• A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
• The Petrov--Galerkin and Iterated Petrov--Galerkin Methods for Second-Kind Integral Equations
• Numerical solution of linear Fredholm integral equations system by rationalized Haar functions method
• Discrete wavelet Petrov--Galerkin methods

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