Volterra Integral Equation
Hyers-Ulam stability of Volterra integral equation
... The purpose of the this work is to discuss the Hyers–Ulam stability of the non homogeneous linear Volterra integral equation (2.1), where x ∈ I = [a, b], −∞ ≤ a < b ≤ ∞. We will use the successive ...
7
Nonlocal diffusion, a Mittag-Leffler function and a two-dimensional Volterra integral equation
... This paper has been concerned with a special class of two dimensional Volterra integral equations. A nonlocal diffusion problem was introduced and it was shown that this problem could be re-characterized as ...
10
On The Existence Of Locally Attractive Solutions Of A Nonlinear Quadratic Volterra Integral Equation Of Fractional Order
... quadratic Volterra integral equation of fractional (arbitrary) ...Keywords: Integral equations of fractional (arbitrary) order, locally attractive solutions, Fixed point ...
5
On the Existence of Locally Attractive Solutions of a Nonlinear Quadratic Volterra Integral Equation of Fractional Order
... The authors employs a hybrid fixed point theorem involving the multiplication of two operators for proving an existence result of locally attractive solutions of a nonlinear quadratic Volterra integral ...
11
A Fixed Point Approach to the Stability of a Volterra Integral Equation
... In this paper, we will adopt the idea of C˘adariu and Radu [ 12 ] and prove the Hyers- Ulam-Rassias stability and the Hyers-Ulam stability of the Volterra integral equation ( 1.2 ).. Hye[r] ...
9
The Adomian Decomposition Method of Volterra Integral Equation of Second Kind
... form is obtained by using the series (8). In the other words, the Adomian decomposition method converts the Volterra integral equation into a determin- -ation of computable components. It was ...
7
Numerical Solution of the Fredholme Volterra Integral Equation by the Sinc Function
... [6] N. Eggert, M. Jarrat and J. Lund, “Sinc Function Compu- tation of the Eigenvalues of Sturm—Liouville Problems,” Journal of Computational Physics, Vol. 69, No. 1, 1987, pp. 209-229. doi:10.1016/0021-9991(87)90163-X ...
7
Fredholm Volterra integral equation with potential kernel
... of integral equations in three dimensions, then, by using the method of separation of variables, we represent the integral equation to a system of Fredholm integral equation of the ...
10
Numerical Solution of Freholm Volterra Integral Equations by Using Scaling Function Interpolation Method
... solve Volterra in- tegral equations of the first kind, and Fredholm-Volterra integral ...of Volterra integral equations and Freholm-Volterra integral ...solving ...
6
Numerical solution of systems of linear Volterra integral equations using block-pulse functions
... [12], integral equations [6], population balance equations ...Fredholm integral equations system ...solve Volterra integral equation of the first kind using operational matrix with BPFs ...
8
Homotopy approximation technique for solving nonlinear Volterra-Fredholm integral equations of the first kind
... Table 4.1. Numerical results for the Example. Table 4.1 shows that, the approximate solution of the nonlinear Fredholm-Volterra integral equation of the first kind is convergent with 6 iterations by ...
6
An application of the Romberg Extrapolation on Modified Trapezoidal Quadrature method for solving linear Volterra Integral Equations of the second type
... ABSTRACT: In this article we have used modified trapezoidal quadrature method to solve the Volterra integral equation (VIE) of the second type. Using Romberg extrapolation, the speed and accuracy of ...
8
Numerical Solution of a Free Boundary Problem from Heat Transfer by the Second Kind Chebyshev Wavelets
... Singular Volterra integral equation of the first ...kind integral equation is ill posed, and an appropriate method for such ill posed problems is based on wavelets, then we apply the ...
8
Numerical solution of nonlinear Fredholm-Volterra integral equations via Bell polynomials
... the Volterra-Fredholm integral equations occurs from parabolic boundary value problems, from the mathematical modelling of the spatial-temporal develop- ment of an epidemic, and from various physical and ...
15
Random Integral Equation of the Volterra Type with Applications
... This equation seems to be more general than any random Volterra integral equation which has been studied to date. The generality consists primarily in the choice of the stochastic kernel. In ...
12
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 worked using ...
12
Periodic Solutions of Gurtin-MacCamy Model and Extended Gurtin-MacCamy Model
... We study the growth (or decay) in the number of individuals of a particular species in a given region. Immigration and emigration are assumed to play no significant role in the dynamics of the populations, and our model ...
15
Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations
... Stratonovich Volterra integral ...Stratonovich Volterra integral equation reduces to the nonlin- ear system of algebraic equations which can be solved by using a suitable numerical ...
18
Numerical procedures for Volterra integral equations
... Using product integration techniques, the midpoint, Euler and trapezoidal methods for Volterra integral equation s o f the first kind with continuous kernels and the schemes developed in[r] ...
138
SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD
... linear volterra integro-differential equations are reduced to the standard linear volterra integral equation of the second kind in other to avoid unrealistic assumptions experienced with other ...
7