Analysis of the Euler and trapezoidal discretization methods for the numerical solution of nonlinear functional Volterra integral equations of Urysohn type

DOI10.1016/j.cam.2021.113628zbMath1472.65162OpenAlexW3175673892MaRDI QIDQ2043161

S. Nemati, Pedro M. Lima, Sohrab Bazm

Publication date: 29 July 2021

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.2021.113628

zbMATH Keywords

Euler methodfunctional integral equationsGronwall inequalityPicard iterative methodtrapezoidal methodVolterra-Urysohn integral equations

Mathematics Subject Classification ID

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

Related Items

Solvability and approximation of nonlinear functional mixed Volterra-Fredholm equation in Banach space ⋮ Fourth-order trapezoid algorithm with four iterative schemes for nonlinear integral equations ⋮ Existence, uniqueness, and numerical approximation of solutions of a nonlinear functional integral equation ⋮ Generalized Banach fixed-point theorem and numerical discretization for nonlinear Volterra-Fredholm equations ⋮ On the order of convergence of the iterative Bernstein splines method for fractional order initial value problems ⋮ On the maximal order of convergence of Green's function method for solving two-point boundary value problems with deviating argument

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