Numerical solution of nonlinear \(m\)-dimensional Fredholm integral equations using iterative Newton-Cotes rules

DOI10.1016/j.cam.2024.115917MaRDI QIDQ6569154

Hamid Mottaghi Golshan

Publication date: 8 July 2024

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

zbMATH Keywords

fixed point theoryPicard iterationNewton-Cotes rulesFredholm-Urysohn integral equations

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Fredholm integral equations (45Bxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution for three-dimensional nonlinear mixed Volterra-Fredholm integral equations via three-dimensional block-pulse functions
• Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules
• Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
• Multidimensional integral equations and inequalities
• A numerical scheme for a class of nonlinear Fredholm integral equations of the second kind
• Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method
• Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales.
• Applying the modified block-pulse functions to solve the three-dimensional Volterra-Fredholm integral equations
• An integral equation describing an asexual population in a changing environment
• New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets
• On accurate solution of the Fredholm integral equations of the second kind
• New approach to solve two-dimensional Fredholm integral equations
• About a numerical method of successive interpolations for functional Hammerstein integral equations
• Some properties of the modulus of continuity
• An electromagnetic integral equation: Application to microtearing modes
• An Euler-type method for two-dimensional Volterra integral equations of the first kind
• Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
• An Introduction to Nonlinear Analysis and Fixed Point Theory
• Richardson extrapolation of iterated discrete Galerkin solution for two-dimensional Fredholm integral equations

This page was built for publication: Numerical solution of nonlinear \(m\)-dimensional Fredholm integral equations using iterative Newton-Cotes rules