Approximation methods for system of nonlinear Fredholm-Hammerstein integral equations

DOI10.1007/s40314-021-01424-7zbMath1461.65263OpenAlexW3124600136MaRDI QIDQ2027728

Gnaneshwar Nelakanti, Samiran Chakraborty

Publication date: 28 May 2021

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

Full work available at URL: https://doi.org/10.1007/s40314-021-01424-7

zbMATH Keywords

Galerkin methodweakly singular kernelssmooth kernelsmulti-Galerkin methodsuperconvergence resultssystem of Fredholm-Hammerstein integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Systems of nonlinear integral equations (45G15) Fredholm integral equations (45B05)

Related Items (5)

Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems ⋮ Error analysis of reiterated projection methods for Hammerstein integral equations ⋮ Superconvergent multi-Galerkin method for nonlinear Fredholm-Hammerstein integral equations ⋮ Approximation methods for system of linear Fredholm integral equations of second kind ⋮ A spectral collocation matrix method for solving linear Fredholm integro-differential-difference equations

Cites Work

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• A fast multiscale solver for modified Hammerstein equations
• Discrete Legendre spectral projection methods for Fredholm-Hammerstein integral equations
• Polynomially based multi-projection methods for Fredholm integral equations of the second kind
• Numerical solutions for weakly singular Hammerstein equations and their superconvergence
• Superconvergence of the iterated collocation methods for Hammerstein equations
• The decomposition method applied to systems of Fredholm integral equations of the second kind.
• Superconvergence results of Legendre spectral projection methods for weakly singular Fredholm-Hammerstein integral equations
• Wavelet applications to the Petrov--Galerkin method for Hammerstein equations
• Superconvergence results of Legendre spectral projection methods for Volterra integral equations of second kind
• Galerkin and multi-Galerkin methods for weakly singular Volterra-Hammerstein integral equations and their convergence analysis
• Legendre spectral projection methods for Urysohn integral equations
• Error analysis of Jacobi spectral Galerkin and multi-Galerkin methods for weakly singular Volterra integral equations
• Convergence analysis of Galerkin and multi-Galerkin methods for linear integral equations on half-line using Laguerre polynomials
• The discrete multi-projection method for Fredholm integral equations of the second kind
• Positive solvability of systems of nonlinear Hammerstein integral equations
• Legendre spectral projection methods for Fredholm-Hammerstein integral equations
• Superconvergence of the iterated degenerate kernel method
• The numerical solution of Hammerstein equations by a method based on polynomial collocation
• Degenerate Kernel Method for Hammerstein Equations
• Superconvergence of a Collocation-type Method for Hummerstein Equations
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• The Numerical Solution of Integral Equations of the Second Kind
• A New Collocation-Type Method for Hammerstein Integral Equations
• Superconvergence of the Iterated Galerkin Methods for Hammerstein Equations
• Error analysis of Jacobi spectral collocation methods for Fredholm-Hammerstein integral equations with weakly singular kernel
• The numerical solution of Fredholm-Hammerstein integral equations by combining the collocation method and radial basis functions
• A Meshless Discrete Galerkin Method Based on the Free Shape Parameter Radial Basis Functions for Solving Hammerstein Integral Equation
• Superconvergence Results for Weakly Singular Fredholm–Hammerstein Integral Equations
• A MESHLESS LOCAL GALERKIN METHOD FOR THE NUMERICAL SOLUTION OF HAMMERSTEIN INTEGRAL EQUATIONS BASED ON THE MOVING LEAST SQUARES TECHNIQUE
• Positive solutions for a system of nonlinear Hammerstein integral equations and applications

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