Numerical solution of three-dimensional Volterra-Fredholm integral equations of the first and second kinds based on Bernstein's approximation

DOI10.1016/J.AMC.2018.07.021zbMath1429.65317OpenAlexW2887561794WikidataQ129476947 ScholiaQ129476947MaRDI QIDQ2007522

Tahereh Eftekhari, Khosrow Maleknejad, Jalil Rashidinia

Publication date: 22 November 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2018.07.021

zbMATH Keywords

numerical methoderror estimationVolterra-Fredholm integral equationsthree-variable Bernstein polynomials

Mathematics Subject Classification ID

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

Related Items (15)

Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space ⋮ Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space ⋮ Operational matrices based on hybrid functions for solving general nonlinear two-dimensional fractional integro-differential equations ⋮ A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets ⋮ A novel and efficient operational matrix for solving nonlinear stochastic differential equations driven by multi-fractional Gaussian noise ⋮ A new and efficient approach for solving linear and nonlinear time-fractional diffusion equations of distributed order ⋮ 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 ⋮ Applying the three‐dimensional block‐pulse functions to solve system of <scp>Volterra–Hammerstein</scp> integral equations ⋮ Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approach ⋮ A new hybrid approach for nonlinear stochastic differential equations driven by multifractional Gaussian noise ⋮ A new operational vector approach for time‐fractional subdiffusion equations of distributed order based on hybrid functions ⋮ Numerical solution of the diffusion problem of distributed order based on the sinc-collocation method ⋮ Approximating the solution of three-dimensional nonlinear Fredholm integral equations ⋮ Bernstein operator method for approximate solution of singularly perturbed Volterra integral equations ⋮ An iterative multistep kernel based method for nonlinear Volterra integral and integro-differential equations of fractional order

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