Existence, uniqueness, and numerical approximation of solutions of a nonlinear functional integral equation
DOI10.1016/j.cam.2023.115602OpenAlexW4387219542MaRDI QIDQ6126021
Alireza Hosseini, Fatemeh Pahlevani, Sohrab Bazm, Juarez S. Azevedo
Publication date: 9 April 2024
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.2023.115602
existenceuniquenessPicard iterationfixed point methodfunctional integral equationGauss quadrature rules
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Numerical quadrature and cubature formulas (65D32)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bernoulli polynomials for the numerical solution of some classes of linear and nonlinear integral equations
- Integrable solutions of a generalized mixed-type functional integral equation
- Existence and approximate \(L^p\) and continuous solutions of nonlinear integral equations of the Hammerstein and Volterra types
- On existence of integrable solutions of a functional integral equation under Carathéodory conditions
- Integrable solutions of a nonlinear functional integral equation on an unbounded interval
- A survey of numerical methods for solving nonlinear integral equations
- Integrable solutions of a functional-integral equation
- On the solution of linear and nonlinear integral equation.
- Numerical analysis of a collocation method for functional integral equations
- Existence results for nonlinear integral equations
- Analysis of the Euler and trapezoidal discretization methods for the numerical solution of nonlinear functional Volterra integral equations of Urysohn type
- A sigmoid method for some nonlinear Fredholm integral equations of the second kind
- Analysis and spectral element solution of nonlinear integral equations of Hammerstein type
- Superconvergent Nyström and degenerate kernel methods for Hammerstein integral equations
- A fixed point theorem for nonautonomous type superposition operators and integrable solutions of a general nonlinear functional integral equation
- Modified projection and the iterated modified projection methods for nonlinear integral equations
- A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions
- Integral equations arising in the kinetic theory of gases
- Linear Multistep Methods for Volterra Integral and Integro-Differential Equations
- Quadratic equations and applications to Chandrasekhar's and related equations
- Projection and Iterated Projection Methods for Nonlinear Integral equations
- The discrete collocation method for nonlinear integral equations
- A New Collocation-Type Method for Hammerstein Integral Equations
- On the existence and uniqueness of solutions of Darboux problem for partial differential-functional equations
- Iterative Procedures for Nonlinear Integral Equations
This page was built for publication: Existence, uniqueness, and numerical approximation of solutions of a nonlinear functional integral equation