Rationalized Haar wavelet bases to approximate solution of nonlinear Fredholm integral equations with error analysis

DOI10.1016/j.amc.2015.05.010zbMath1410.65492OpenAlexW404624109MaRDI QIDQ1664209

Y. Aharonov

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.010

zbMATH Keywords

error analysisfixed point theoremoperational matrixnonlinear Fredholm integral equationrationalized Haar wavelet

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for integral equations (65R20) Fixed-point theorems (47H10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Fredholm integral equations (45B05)

Related Items (11)

The numerical solution of Fredholm-Hammerstein integral equations by combining the collocation method and radial basis functions ⋮ The numerical solution of nonlinear integral equations of the second kind using thin plate spline discrete collocation method ⋮ Solution of nonlinear Volterra and Fredholm integro-differential equations by the rational Haar wavelet ⋮ The approximate solution of nonlinear integral equations with the RH wavelet bases in a complex plane ⋮ Approximate solution of linear Volterra integro-differential equation by using cubic B-spline finite element method in the complex plane ⋮ Solving two-dimensional nonlinear Fredholm integral equations using rationalized Haar functions in the complex plane ⋮ Solving the nonlinear integro-differential equation in complex plane with rationalized Haar wavelet ⋮ A correction to ``Rationalized Haar wavelet bases to approximate solution of nonlinear Fredholm integral equations with error analysis ⋮ Numerical solution of nonlinear mixed Volterra-Fredholm integral equations in complex plane via PQWs ⋮ Solving of nonlinear Fredholm integro-differential equation in a complex plane with rationalized Haar wavelet bases ⋮ Solving two-dimensional nonlinear mixed Volterra Fredholm integral equations by using rationalized Haar functions in the complex plane

Cites Work

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• Numerical solution for three-dimensional nonlinear mixed Volterra-Fredholm integral equations via three-dimensional block-pulse functions
• Application of Euler matrix method for solving linear and a class of nonlinear Fredholm integro-differential equations
• A numerical scheme for a class of nonlinear Fredholm integral equations of the second kind
• Solving systems of high-order linear differential-difference equations via Euler matrix method
• Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation
• New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets
• A different approach for solving the nonlinear Fredholm integral equations of the second kind
• Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape
• Ten Lectures on Wavelets
• The Numerical Solution of Integral Equations of the Second Kind
• A Rationalized Haar Functions Method for Nonlinear Fredholm-hammerstein Integral Equations

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