Solving nonlinear integral equations of Fredholm type with high order iterative methods [PDF]
, 2011 The application of high order iterative methods for solving nonlinear integral equations is not usual in mathematics. But, in this paper, we show that high order iterative methods can be used to solve a special case of nonlinear integral equations of ...
N. Romero +8 more
core +1 more source
Convergence Analysis for Linear Fredholm and Nonlinear Fredholm Hammerstein Integral Equations [PDF]
, 2022 In this article, we consider the linear Fredholm integral equations and Fredholm-Hammerstein’s integral equations. We propose the Legendre polynomial based degenerate kernel method to solve linear Fredholm and Fredholm-Hammerstein integral equations.
Kumar, Rakesh +2 more
core +1 more source
Finite-dimensional perturbations of linear operators and some applications to boundary integral equations [PDF]
, 1999 Finite-dimensional perturbing operators are constructed using some incomplete information about eigen-solutions of an original and/or adjoint generalized Fredholm operator equation (with zero index).
S.E. Mikhailov, Mikhailov, SE
core +1 more source
Boundary integral equations on unbounded rough surfaces: Fredholmness and the finite section method [PDF]
, 2008 We consider a class of boundary integral equations that arise in the study of strongly elliptic BVPs in unbounded domains of the form $D = \{(x, z)\in \mathbb{R}^{n+1} : x\in \mathbb{R}^n, z > f(x)\}$ where $f : \mathbb{R}^n \to\mathbb{R}$ is a ...
Chandler-Wilde, Simon Neil +3 more
core +1 more source
Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions
Journal of Applied Mathematics, 2014 We solve some different type of Urysohn integral equations by using the radial basis functions. These types include the linear and nonlinear Fredholm, Volterra, and mixed Volterra-Fredholm integral equations.
Zakieh Avazzadeh +3 more
doaj +1 more source
On the Solutions of Integral Equations of Fredholm type with Special Functions [PDF]
, 2016 [[abstract]]In the present paper, we study the various useful methods of solv- ing the one-dimensional integral equation of Fredholm type. We rst solve an integral equation involving the product of multivariable H- function by the application of ...
Devendra Kumar, V. B. L. Chaurasia
core
Journal of Algorithms & Computational Technology, 2023 For scientists conducting research, fractional integral differential equation analysis is crucial. Therefore, in this study, we investigate analysis utilizing a novel method called the fractional decomposition method, which is applicable to fractional ...
Mahmoud S Rawashdeh +2 more
doaj +1 more source
Numerical solution of 2D-fuzzy Fredholm integral equations using optimal homotopy asymptotic method
Alexandria Engineering Journal, 2021 This paper deals with the solution of system of 2D-fuzzy Fredholm integral equations (2D-FFIEs) depend upon the parametric form fuzzy number; using an efficient algorithm called Optimal Homotopy Asymptotic Method (OHAM).
Sumbal Ahsan +5 more
doaj +1 more source
On nonlinear Fredholm integral equations with non‐differentiable Nemystkii operator [PDF]
, 2020 [EN] From decomposition method for operators, we consider a Newton-Steffensen iterative scheme for approximating a solution of nonlinear Fredholm integral equations with non-differentiable Nemystkii operator.
Hernández-Verón, M.A. +3 more
core +1 more source
Alexandria Engineering Journal, 2013 A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented.
Farshid Mirzaee, Ali Akbar Hoseini
doaj +1 more source