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

DOI10.1016/J.CAM.2018.06.002zbMath1398.65346OpenAlexW2809193954MaRDI QIDQ724530

A. Babaaghaie, Khosrow Maleknejad

Publication date: 26 July 2018

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.2018.06.002

zbMATH Keywords

Bernstein collocation methodnonlinear two-dimensional Fredholm integral equationtwo-dimensional Bernstein basistwo-dimensional functions numerical integration

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Linear operator approximation theory (47A58)

Related Items (9)

Chaotic behaviour of fractional predator-prey dynamical system ⋮ Solvability for generalized nonlinear two dimensional functional integral equations via measure of noncompactness ⋮ Collocation method for solving two-dimensional nonlinear Volterra-Fredholm integral equations with convergence analysis ⋮ Unnamed Item ⋮ A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order ⋮ Solvability for two dimensional functional integral equations via Petryshyn's fixed point theorem ⋮ A comparison of Newton-Raphson method with Newton-Krylov generalized minimal residual (GMRes) method for solving one and two dimensional nonlinear Fredholm integral equations ⋮ On accurate solution of the Fredholm integral equations of the second kind ⋮ Common solution to a pair of nonlinear Fredholm and Volterra integral equations and nonlinear fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modern mathematical methods and high performance computing in science and technology. M3HPCST, Ghaziabad, India, December 27--29, 2015
• Numerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet
• Exponential Bernstein functions: an effective tool for the solution of heat transfer of a micropolar fluid through a porous medium with radiation
• A rational approximation based on Bernstein polynomials for high order initial and boundary values problems
• A collocation method based on Bernstein polynomials to solve nonlinear Fredholm-Volterra integro-differential equations
• A new approach to the numerical solution of Volterra integral equations by using Bernstein's approximation
• Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions
• Solving system of Volterra-Fredholm integral equations with Bernstein polynomials and hybrid Bernstein Block-Pulse functions
• Application of two-dimensional Bernstein polynomials for solving mixed Volterra-Fredholm integral equations
• Some properties of two-dimensional Bernstein polynomials
• On the solution of linear and nonlinear integral equation.
• Using operational matrix of two-dimensional Bernstein polynomials for solving two-dimensional integral equations of fractional order
• Interpolation and approximation by polynomials
• A new method based on Haar wavelet for the numerical solution of two-dimensional nonlinear integral equations
• Solving two-dimensional Volterra-Fredholm integral equations of the second kind by using Bernstein polynomials
• Retracted: Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials
• Hybrid function method and convergence analysis for two-dimensional nonlinear integral equations
• Some numerical integration methods based on Bernstein polynomials
• Computational Methods for Integral Equations

This page was built for publication: 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