The discrete collocation method for Fredholm–Hammerstein integral equations based on moving least squares method

DOI10.1080/00207160.2015.1046846zbMath1347.65195OpenAlexW2278147509MaRDI QIDQ5739619

Hojatollah Laeli Dastjerdi, Farid Mohammad Maalek Ghaini

Publication date: 19 July 2016

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2015.1046846

zbMATH Keywords

collocation methoderror analysismeshless methodnumerical resultmoving least squares methodFredholm-Hammerstein integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fredholm integral equations (45B05)

Related Items (5)

Wilson wavelets method for solving nonlinear fractional Fredholm–Hammerstein integro-differential equations ⋮ Wilson wavelets-based approximation method for solving nonlinear Fredholm–Hammerstein integral equations ⋮ Moving least squares collocation method for Volterra integral equations with proportional delay ⋮ An efficient method for the numerical solution of a class of nonlinear fractional Fredholm integro-differential equations ⋮ Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation

Cites Work

• A meshless method based on the moving least squares (MLS) approximation for the numerical solution of two-dimensional nonlinear integral equations of the second kind on non-rectangular domains
• Numerical solution of Volterra-Fredholm integral equations by moving least square method and Chebyshev polynomials
• The numerical solution of the non-linear integro-differential equations based on the meshless method
• A meshless based method for solution of integral equations
• Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
• Wavelet applications to the Petrov--Galerkin method for Hammerstein equations
• Existence results for nonlinear integral equations
• A moving least square reproducing polynomial meshless method
• A generalized moving least square reproducing kernel method
• On generalized moving least squares and diffuse derivatives
• Projection and Iterated Projection Methods for Nonlinear Integral equations
• The discrete collocation method for nonlinear integral equations
• Collocation Methods for Volterra Integral and Related Functional Differential Equations
• Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
• Scattered Data Approximation

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