Hybrid Legendre Block-Pulse functions for the numerical solutions of system of nonlinear Fredholm-Hammerstein integral equations

DOI10.1016/j.amc.2015.08.107zbMath1410.65504OpenAlexW1872366324MaRDI QIDQ670850

Juan-Miguel Gracia

Publication date: 20 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.08.107

zbMATH Keywords

Legendre polynomialsblock-pulse functionshybrid functionsnonlinear Fredholm-Hammerstein integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items

The impact of Legendre wavelet collocation method on the solutions of nonlinear system of two-dimensional integral equations, Numerical solution for system of nonlinear Fredholm–Hammerstein integral equations based on hybrid Bernstein Block-Pulse functions with the Gauss quadrature rule, A stochastic operational matrix method for numerical solutions of multi-dimensional stochastic Itô-Volterra integral equations, Application of Newton–Cotes quadrature rule for nonlinear Hammerstein integral equations, Numerical solutions of system of two-dimensional Volterra integral equations via Legendre wavelets and convergence, Stochastic operational matrix of Chebyshev wavelets for solving multi-dimensional stochastic Itô–Volterra integral equations, Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations in two-dimensional spaces based on block pulse functions, A hybrid Legendre block-pulse method for mixed Volterra-Fredholm integral equations, Unnamed Item, LSMR iterative method for solving one- and two-dimensional linear Fredholm integral equations, Unnamed Item

Cites Work

• A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations
• Numerical solutions of integrodifferential systems by hybrid of general block-pulse functions and the second Chebyshev polynomials
• Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse functions.
• The decomposition method applied to systems of Fredholm integral equations of the second kind.
• A new approach based on semi-orthogonal B-spline wavelets for the numerical solutions of the system of nonlinear Fredholm integral equations of second kind
• A new numerical approach for the solution of nonlinear Fredholm integral equations system of second kind by using Bernstein collocation method
• Direct method for solving integro differential equations using hybrid Fourier and block-pulse functions
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