A modification for solving Fredholm‐Hammerstein integral equation by using wavelet basis

DOI10.1108/03684920910944830zbMath1202.45001OpenAlexW1997692947MaRDI QIDQ4932922

Khosrow Maleknejad, Mohsen Rabbani

Publication date: 7 October 2010

Published in: Kybernetes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/03684920910944830

zbMATH Keywords

integral equationscybernetics

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Fredholm integral equations (45B05)

Related Items

An iterative algorithm to find a closed form of solution for Hammerstein nonlinear integral equation constructed by the concept of cosm-rs ⋮ Using the improved Petrov-Galerkin elements \(k-0\) for solving nonlinear Hammerstein-Fredholm integral equations ⋮ Compact operators for existence of solution and projection method with multi-wavelet bases to solve (F.IES) and error analysis in Sobolev space ⋮ Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions ⋮ Galerkin multi-wavelet bases and mesh points method to solve integral equation with singular logarithmic kernel

Cites Work

• Superconvergence of the iterated collocation methods for Hammerstein equations
• Wavelet applications to the Petrov--Galerkin method for Hammerstein equations
• Using the Petrov-Galerkin elements for solving Hammerstein integral equations
• Solution of nonlinear Fredholm-Hammerstein integral equations by using semiorthogonal spline wavelets
• A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
• Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations

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