Results 11 to 20 of about 6,585 (218)

An Analytical Approach to Solve a System of 2D Nonlinear Volterra–Fredholm Integral Equations on Nonrectangular Domains Based on Radial Basis Functions

Journal of Mathematics
We aim to introduce a numerical method to solve a system of two-dimensional nonlinear integral equations of Volterra–Fredholm type with the second kind on nonrectangular domains.
Mohsen Jalalian, Manochehr Kazemi, Mohammad Esmael Samei   +2 more
doaj   +3 more sources

Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel

Computational and Mathematical Methods
This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
doaj   +3 more sources

Collocation Method for Nonlinear Volterra-Fredholm Integral Equations

Open Journal of Applied Sciences, 2012
A fully discrete version of a piecewise polynomial collocation method based on new collocation points, is constructed to solve nonlinear Volterra-Fredholm integral equations. In this paper, we obtain existence and uniqueness results and analyze the convergence properties of the collocation method when used to approximate smooth solutions of Volterra ...
Jafar Ahmadi Shali, Parviz Darania, Ali Asgar Jodayree Akbarfam   +2 more
openaire   +3 more sources

A NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

Journal of Applied Analysis & Computation, 2013
In this paper, a numerical procedure for solving a class ofnonlinear Volterra-Fredholm integral equations is presented. Themethod is based upon the globally defined sinc basis functions.Properties of the sinc procedure are utilized to reduce thecomputation of the nonlinear integral equations to some algebraicequations.
M. Zarebnia
openaire   +2 more sources

Solution of the Nonlinear Mixed Volterra-Fredholm Integral Equations by Hybrid of Block-Pulse Functions and Bernoulli Polynomials [PDF]

The Scientific World Journal, 2014
A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation.
S. Mashayekhi, M. Razzaghi, O. Tripak
doaj   +2 more sources

Evans function and Fredholm determinants. [PDF]

Proc Math Phys Eng Sci, 2015
We explore the relationship between the Evans function, transmission coefficient and Fredholm determinant for systems of first order linear differential operators on the real line.
Karambal I, Malham SJ.
europepmc   +5 more sources

Hybrid functions approach for the nonlinear Volterra–Fredholm integral equations

Procedia Computer Science, 2011
AbstractAn approximation method based on hybrid Legendre and Block–Pulse functions used for the solution of nonlinear Volterra–Fredholm integral equations (NV-FIEs). These hybrid functions operational matrices are presented and are utilized to reduce a nonlinear Volterra–Fredholm integral equation to a system of nonlinear algebraic equations.
Hashemizadeh, E., Maleknejad, K., Basirat, B.   +2 more
openaire   +2 more sources

Polynomial Least Squares Method for the Solution of Nonlinear Volterra‐Fredholm Integral Equations [PDF]

Mathematical Problems in Engineering, 2014
The present paper presents the application of the polynomial least squares method to nonlinear integral equations of the mixed Volterra‐Fredholm type. For this type of equations, accurate approximate polynomial solutions are obtained in a straightforward manner and numerical examples are given to illustrate the validity and the applicability of the ...
Bogdan Căruntu, Constantin Bota
openaire   +2 more sources

Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type

International Journal of Mathematics and Mathematical Sciences, 2010
We establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems.
K. Balachandran, J.-H. Kim
doaj   +3 more sources

Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]

Sahand Communications in Mathematical Analysis, 2015
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
doaj   +1 more source