Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions

DOI10.1016/j.cam.2016.11.004zbMath1352.45007OpenAlexW2553506003MaRDI QIDQ729860

Mehdi Shahbazi, Esmail Hesameddini

Publication date: 22 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.cam.2016.11.004

zbMATH Keywords

convergence analysisBernstein polynomialsGaussian quadraturenumerical algorithmsystem of Volterra-Fredholm integral equations

Mathematics Subject Classification ID

Related Items (17)

A Galerkin-type approach to solve systems of linear Volterra-Fredholm integro-differential equations ⋮ The impact of Legendre wavelet collocation method on the solutions of nonlinear system of two-dimensional integral equations ⋮ Simplified reproducing kernel method and convergence order for linear Volterra integral equations with variable coefficients ⋮ The existence and uniqueness of solution for linear system of mixed Volterra-Fredholm integral equations in Banach space ⋮ Solving multipoint problems with linear Volterra-Fredholm integro-differential equations of the neutral type using Bernstein polynomials method ⋮ Using Bernstein multi-scaling polynomials to obtain numerical solution of Volterra integral equations system ⋮ Applying the three‐dimensional block‐pulse functions to solve system of <scp>Volterra–Hammerstein</scp> integral equations ⋮ Application of Bernstein polynomials for solving Fredholm integro-differential-difference equations ⋮ A unified spectral collocation method for nonlinear systems of multi-dimensional integral equations with convergence analysis ⋮ Numerical solution of three-dimensional Volterra-Fredholm integral equations of the first and second kinds based on Bernstein's approximation ⋮ Numerical solution of nonlinear mixed Volterra-Fredholm integro-differential equations by two-dimensional block-pulse functions ⋮ A new approach for numerical solution of two-dimensional nonlinear Fredholm integral equations in the most general kind of kernel, based on Bernstein polynomials and its convergence analysis ⋮ An approximate solution of bivariate nonlinear Fredholm integral equations using hybrid block-pulse functions with Chebyshev polynomials ⋮ Convergence analysis of hybrid functions method for two-dimensional nonlinear Volterra-Fredholm integral equations ⋮ Optimal control of non-smooth fractional-order systems based on extended Caputo derivative ⋮ Numerical solution of Volterra-Fredholm integral equation systems by operational matrices of integration based on Bernstein multi-scaling polynomials ⋮ Hybrid Bernstein Block–Pulse functions for solving system of fractional integro-differential equations

Cites Work

• Numerical approaches for systems of Volterra-Fredholm integral equations
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• Numerical solution of Volterra-Fredholm integral equations using Legendre collocation method
• A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions
• A new approach to the numerical solution of Volterra integral equations by using Bernstein's approximation
• Application of two-dimensional Bernstein polynomials for solving mixed Volterra-Fredholm integral equations
• A Chebyshev polynomial approach for linear Fredholm-Volterra integro-differential equations in the most general form
• A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations
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