Convergence of 2D-orthonormal Bernstein collocation method for solving 2D-mixed Volterra-Fredholm integral equations

DOI10.1016/j.trmi.2017.09.006zbMath1416.65543OpenAlexW2767690665MaRDI QIDQ2317127

Farshid Mirzaee, Nasrin Samadyar

Publication date: 8 August 2019

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2017.09.006

zbMATH Keywords

collocation methodBernstein polynomialserror analysistwo-dimensional mixed Volterra-Fredholm integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Fredholm integral equations (45B05) Volterra integral equations (45D05)

Related Items (15)

Solvability of quadratic integral equations with singular kernel ⋮ Chelyshkov polynomials strategy for solving 2-dimensional nonlinear Volterra integral equations of the first kind ⋮ Approximate solution of nonlinear Fredholm integral equations of the second kind using a class of Hermite interpolation polynomials ⋮ Unnamed Item ⋮ A new and efficient numerical method based on shifted fractional‐order Jacobi operational matrices for solving some classes of two‐dimensional nonlinear fractional integral equations ⋮ Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approach ⋮ A numerical approach based on Bernstein collocation method: application to differential Lyapunov and Sylvester matrix equations ⋮ Unnamed Item ⋮ A directly convergent numerical method based on orthoexponential polynomials for solving integro-differential-delay equations with variable coefficients and infinite boundary on half-line ⋮ Numerical solution of three-dimensional Volterra-Fredholm integral equations of the first and second kinds based on Bernstein's approximation ⋮ A new algorithm for the solution of nonlinear two-dimensional Volterra integro-differential equations of high-order ⋮ A spectral collocation method with piecewise trigonometric basis functions for nonlinear Volterra-Fredholm integral equations ⋮ An approximate solution of bivariate nonlinear Fredholm integral equations using hybrid block-pulse functions with Chebyshev polynomials ⋮ An operational matrix based on the independence polynomial of a complete bipartite graph for the Caputo fractional derivative ⋮ Solving two-dimensional nonlinear mixed Volterra Fredholm integral equations by using rationalized Haar functions in the complex plane

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