Fredholm integral equation
Reduces Solution of Fredholm Integral Equation to a System of Linear Algebraic Equation
... of integral equations like iterated kernel, symmetric , different and Resolved kernel and to determine the Resolved kernel for Fredholm integral equation (FIE) and Volterra integral ...
9
An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel
... kind Fredholm integral equation with degenerated kernel defined by means of the Bittner ope- rational ...calculus. Fredholm alternative for mutually conjugated integral equations is ...
18
Application of Nyström method to a Fredholm integral equation describing induction heating
... a Fredholm Integral Equation of the second kind. The equation is used to compute the eddy current of ...an equation is the Nystr¨om ...the integral in an equation by the ...
6
Numerical Treatment of Nonlinear Volterra Fredholm Integral Equation with a Generalized Singular Kernel
... Volterra- Fredholm integral equation (V-FIE) with singular kernel by utilizing the combined Laplace-Ado- mian decomposition method (LADM) was ...
7
Kress smoothing transformation for weakly singular Fredholm integral equation of second kind
... boundary Fredholm integral equation in domains with ...this integral equation has a singularity at the corner ...considers integral equations of the second kind in the slightly ...
40
Adomian Decomposition Method of Fredholm Integral Equation of the Second kind Using Maple
... the Fredholm integral equation of the second kind (1) The unknown function that will be determined, occurs inside and outside the integral ...
8
Numerical Implementation of Triangular Functions for Solving a Stochastic Nonlinear Volterra-Fredholm Integral Equation
... Abstract—This paper presents a numerical method for solv- ing the stochastic nonlinear volterra-fredholm integral equation (SNVFIE) driven by a standard Brownian motion (SBM). The method is ...
6
Adomian decomposition method for two-dimensional nonlinear fredholm integral equation of the second kind
... 4 In the previous researcher, Adomian decomposition method has been used for solving the Volterra integral equation of the second kind. In this research we seek to extend the application of Adomian ...
22
Approximate solution of the Fredholm integral equation of the first kind in a reproducing kernel Hilbert space
... the Fredholm integral equation of the first kind in ...for Fredholm integral equations of the first kind is obtained in Section ...the equation is ...a Fredholm ...
7
A computational method for solving weakly singular Fredholm integral equation in reproducing kernel spaces
... The Fredholm integral equation with weakly singular kernel arises in differ- ent problems of mathematical physics such as potential problem, variational equilibrium, fracture mechanics, infrared ...
18
The Successive Approximation Method for Solving Nonlinear Fredholm Integral Equation of the Second Kind Using Maple
... Abstract In this paper, we will use the successive approximation method for solving Fredholm integral equation of the second kind using Maple18. By means of this method, an algorithm is successfully ...
12
EKST. Modified Decomposition Method for Solving A Nonlinear System of Two-dimensional Volterra- Fredholm Integral Equation
... Volterra-Fredholm Integral Equation, Modified Decomposition Method, Successive Iterative Method ...Volterra- Fredholm integral equations of second ...Volterra–Fredholm ...
8
Approximation solution of two-dimensional linear stochastic Volterra-Fredholm integral equation via two-dimensional Block-pulse functions
... This paper is organized as follows: In Section 2 we introduce BPFs and their properties. In Section 3 we solve the two-dimensional linear stochastic Volterra-Fredholm integral equation 1.2 by finding ...
8
Fredholm integral equation of the second kind with potential kernel
... (1) The three-dimensional semi-symmetric Hertz contact problem of two different elastic mater- ials with potential function kernel can be reduced to the Fredholm i[r] ...
7
On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation
... In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equa- tions and extension of this type of integral equations. The result is obtained by using the coupled ...
7
Numerical Treatment of Fixed Point Applied to the Nonlinear Fredholm Integral Equation
... 2 M. Domingo Montesinos, A. I. Garralda Guillem, and M. Ruiz Gal´an, “Fredholm integral equations and Schauder bases,” in VIII Journ´ees Zaragoza-Pau de Math´ematiques Appliqu´ees et de Statistiques, vol. ...
8
Solving Mixed Volterra - Fredholm Integral Equation (MVFIE) by Designing Neural Network
... Transfer function (Log – sigmoid) and training algorithm (Levenberg – Marquardt) are used as a sigmoid activation of each unit. A comparison between the results of numerical experiment and the analytic solution of some ...
5
Cooperating Newton’s Method with Series Solution Method for Solving System of Linear Mixed Volterra-Fredholm Integral Equation of the Second Kind
... Talaat I. Hasan* Department of Mathematics, College of Basic Education, Salahaddin University, Erbil, Iraq ABSTRACT In this paper, for the 1 st time, we use Newton’s method with series solution method (SSM) for solving ...
7
Fredholm Volterra integral equation with potential kernel
... the Fredholm-Volterra integral equation of the first kind in the space L 2 (Ω)×C(0,T ), Ω = {(x,y) : x 2 +y 2 ≤ a}, z = 0, and T < ...the Fredholm integral term considered in the ...
10
SOME NONLINEAR INTEGRAL INEQUALITIES FOR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
... Volterra-Fredholm integral inequalities which provide an explicit bound on unknown function, and can be used as a tool in the study of certain nonlinear mixed integral ...Keywords: integral ...
11