Numerical solutions for nonlinear fredholm integral equations of the ...

Numerical solution of nonlinear Fredholm integral equations of the ...

Abstract. In this work, we present a computational method for solving nonlinear Fredholm integral equations of the second kind which is based on the use of Haar ...

This paper discusses the numerical solutions for the nonlinear Fredholm integral equations of the second kind. On the basis of the Galerkin method, ...

Numerical solutions for nonlinear Volterra-Fredholm integral ...

This study is focused on the numerical solutions of the nonlinear Volterra-Fredholm integral equations (NV-FIEs) of the second kind, which have several ...

(PDF) Numerical Solutions of Nonlinear Fredholm Integral ...

This approach reduces this type of integral equation to solve a nonlinear system of algebraic equation. The approximate solution for nonlinear ...

Numerical solution of the nonlinear Fredholm integral equations by ...

The method is based on interpolation by radial basis functions (RBF) to approximate the solution of the Fredholm nonlinear integral equations. Several examples ...

Numerical solution of nonlinear Fredholm integral equations using ...

In this study, an efficient numerical solution based on the Newton-PKSOR method with Simpson's 1/3 rule has been proposed to determine the ...

(PDF) Numerical solutions for nonlinear Volterra-Fredholm integral ...

This study is focused on the numerical solutions of the nonlinear Volterra-Fredholm integral equations (NV-FIEs) of the second kind, ...

Correction: Numerical solutions for nonlinear Volterra-Fredholm ...

Correction: Numerical solutions for nonlinear Volterra-Fredholm integral equations of the second kind with a phase lag · Citation: Gamal A. Mosa, Mohamed A.

Numerical solution of nonlinear fuzzy Fredholm integral equations of ...

Fuzzy integral equations. We consider the nonlinear fuzzy Fredholm integral Eq. (1.1), where k ( s , t ) is a positive crisp kernel function ...

A numerical solution of nonlinear Volterra-Fredholm integral equations

The numerical solutions of the nonlinear. Volterra-Fredholm integral equations by using homotopy perturbation method was introduced in [5]. Minggen et al. [7], ...

Numerical solution of nonlinear two-dimensional Fredholm integral ...

Therefore, a nonlinear Fredholm integral equation is reduced to a system of nonlinear algebraic equations, which is solved using the Newton iteration method.

A novel approach to solve nonlinear Fredholm integral equations of ...

This algorithm is constructed by the integral mean value theorem and Newton iteration. Convergence and error analysis of the numerical solutions are given.

Nonlinear Fredholm Integral Equations - SpringerLink

Erik Ivar Fredholm (1866–1927) is best remembered for his work on integral equations and spectral theory. Fredholm was a Swedish mathematician who established ...

How do I solve a nonlinear Fredholm integral equation?

This is not a Fredholm equation. Nevertheless it seems to have a simple solution. Indeed: one evidently finds the solution in the form

Numerical Solution of the Nonlinear Fredholm Integral Equation and ...

In this paper, a numerical method to solve nonlinear Fredholm integral equations of second kind is proposed and some numerical notes about this method are ...

Numerical solution of linear and nonlinear Fredholm integral ... - NCBI

(1) will stand for both linear and non-linear Fredholm integral equations, the case that F(u( · )) = u( · ) is allowed. In this and all ...

Numerical Methods for Solving Fredholm Integral Equations of ...

where a and b are both constants. f(x), g(x), and K(x, t) are known functions while y(x) is unknown function. λ ...

Extrapolation methods for the numerical solution of nonlinear ...

Thus, after presenting the most simple iterative method for the solution of Fredholm equations, we will show how the sequence it produces can be accelerated ( ...

THE NUMERICAL METHODS FOR SOLVING NONLINEAR ...

Keywords: Nonlinear Integral Equations, Volterra Integral Equation, Fredholm Integral Equation, Numerical,. Methods. IJRDO - Journal of Mathematics. ISSN ...

Numerical Solution of the Fredholm and Volterra Integral Equations ...

The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich ...