Second kind Volterra integral equation
Numerical Solution of Volterra Integral Equations of Second Kind
... include second kind Volterra integral equation available in the existing literature [1], ...linear Volterra integral equation is calculated by: ...
6
Homotopy approximation technique for solving nonlinear Volterra-Fredholm integral equations of the first kind
... nonlinear Volterra-Fredholm integral equation of the first kind is solved by using the homotopy analysis method ...first kind integral equation can be reduced to the ...
6
A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations
... This article proposes an expansion-iterative method for numerical solution of Volterra integral equation of the second kind. This approach uses a special representation of the vector ...
9
Application of A Second Derivative Multi-Step Method to Numerical Solution of Volterra Integral Equation of Second Kind
... For finding numerical solution of linear equation of type (1), Volterra applied the method of quadratures. Further, this method was revised and modified by many scientists (Corduneanu, 1991 and Manjirov and ...
14
A Solution of Second Kind Volterra Integral Equations Using Third Order Non-Polynomial Spline Function Sarah H. Harbi| Mohammed Ali Murad| Saba N. Majeed
... of integral equation like: Hossinpour , ...of integral differential equation by non-polynomial spline functions and quaderature ...solving Volterra integral equations using non- ...
6
On a Volterra equation of the second kind with ‘incompressible’ kernel
... the integral equations of the form () arise in the study of boundary value problems of heat conduction in an infinite angular domain, which degenerates at the initial ...us Volterra integral ...
14
NUMERICAL SOLUTION OF LINEAR FREDHOLM AND VOLTERRA INTEGRAL EQUATION OF THE SECOND KIND BY USING LEGENDRE WAVELETS
... linear second kind integral ...the integral equations. Then we reduced the integral equation to the solution of linear algebraic ...
6
Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
... In this paper, we construct a new iterative method for solving nonlinear Volterra Integral Equation of the second kind, by approximating the Legendre polynomial basis. Error analysis is ...
12
Numerical Solution of Fuzzy Linear Volterra Integral Equations of the Second Kind by Homotopy Analysis Method
... fuzzy integral equation which is discussed in this paper is the fuzzy Volterra integral equation of the second kind ...
15
Crisp Function Of Integral Nonlinaer Equation Of The Second Kind Over The Fuzzy Interval With Application
... nonlinearvolterrantegral equation centerel mainly on illustrations of the known methods of finding exact , or numerical ...nonlinear volterra integral equations over the fuzzy interval ...
10
A class of Runge–Kutta methods for nonlinear Volterra integral equations of the second kind with singular kernels
... nonlinear Volterra integral equations of the second kind and then we will look for the solution by a class of Runge–Kutta ...singular integral equations, the pur- pose is to achieve a ...
19
Numerical Solutions of Volterra Integral Equations of Second kind with the help of Chebyshev Polynomials
... linear Volterra integral equations of second kind having regular as well as weakly singular kernels, in details, in Section ...of Volterra integral equations are given to verify ...
10
Numerical method for non-linear fuzzy Volterra integral equations of the second kind
... Keywords : Fuzzy number; F uzzy integral equation; Quadrature rules; numerial method.. ||||||||||||||||||||||||||||||||{.[r] ...
11
An approximation method for the solving a class of nonlinear integral equations
... nonlinear integral equation of the first and second kind Fredholm–Volterra integral equations of the second kind by transformingour problems into a system of ...
7
The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... nonlinear Volterra integral equations of the second ...converting integral equation of the first kind to a linear equation of the second kind and the ...
7
Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind
... the second kind nonlinear Vol- terra integral ...nonlinear equation explicitly, while the multistage scheme solves it interval by interval and enlarges the convergence region of the Picard ...
11
Modified Adomian Techniques Applied to Non Linear Volterra Integral Equations
... (1.1) Equation (1.1) represents a nonlinear Volterra integral equation of second kind with unknown function u x and F u is a non-linear function of u x , and we ...
6
Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets
... Singular Volterra integral equation of the first ...first kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on wavelets, then we ...
8
SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD
... integro-differential equation was investigated by Rashed (2004), Wazwaz (2006) used the modified decomposition method and the traditional methods for solving nonlinear integral ...integro-differential ...
7
Newton-Product Integration for a Stefan Problem with Kinetics
... The rest of the paper is organized as follows. In Section 1 a local existence condition is obtained. In Section 2 the Stefan problem with kinetics reduced to a system of nonlinear Volterra integral ...
11