Linear Volterra Integro-Differential Equation
SOLUTION OF LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND USING THE MODIFIED ADOMIAN DECOMPOSITION METHOD
... paper, linear volterra integro-differential equations are reduced to the standard linear volterra integral equation of the second kind in other to avoid unrealistic ...
7
Approximate solution of linear Volterra integro differential equation by using cubic B spline finite element method in the complex plane
... solve integro-differential equations with some basis functions by the Haar and rationalized function methods [4–8], Adomian decomposition method [9], Legen- dre wavelets method [10], RBFs collocation method [11], ...
12
Numerical Solution of Linear Volterra Integro-Differential Equation using Runge-Kutta-Fehlberg Method
... and Volterra Functional Differential Equations,” Numerical Analysis Report, In: Computer Mathematics and its Aplications-Advances & Developments (1994-2005), Elias ...
6
Approximation the fuzzy solution of the non linear fuzzy Volterra integro differential equation using fixed point theorems
... ferential equation y ′ = f(x, y) we may attach two different integral equations, while in the case of differentiability in the sense of the Definition of H-differentiable, we may at- tach only ...integral ...
10
Numerical solution of a singularly perturbed Volterra integro differential equation
... of nonlinear equations. One of these methods is quasi-linearization. Quasi-linearization is a method like Newton’s method (see, e.g., []). This method amounts to linearizing the nonlinear terms in the nonlinear ...
15
International Journal of Partial Differential Equations and Applications
... basic linear-differential equations and had succesfully solved the Abel's Generalized equation and derived the Volterra Integral Equation of the second kind by means of Initial Value ...
7
Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
... solving linear and nonlinear differential and Fredholm- Volterra integral and integro-differential-difference equations [5, 6, 7, 15, 18, ...nonlinear integro differential ...
12
Optimum Solutions of Fredholm and Volterra Integro-differential Equations
... of Volterra integral equation of the first ...of linear Fredholm integral equations of the first ...Fredholm integro-differential ...
13
Numerical solution of nonlinear fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions
... fractional differential and fractional integro-differential equations different numerical techniques have been ...fractional differential transform method is extended to solve linear ...
7
A new numerical scheme for solving system of volterra integro differential equation
... of linear and nonlinear integro- differential equations, various methods have been proposed in the past few years such as shifted Jacobi polynomials [4], Bernoulli matrix method [5], Euler ...
8
Reduction Formula for Linear Fuzzy Equations
... Fuzzy integro-differential equation of first order obtained from different forms of fuzzy equations, in this paper, we found it from fuzzy differential equations, fuzzy integral equations, and ...
7
Vol 6, No 10 (2015)
... various linear and nonlinear integro-differential ...Fredholm integro-Differential equation and integral equation of the second kind in ...nonlinear Volterra- ...
6
Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro differential equations
... where j refers to the jth order of the integro-differential equation and j = 1, 2, 3, . . . , n. k(t, x) are integral kernel and a function of t andx, which arise in mathematical biology, physics and more. ...
15
Existence, Uniqueness And Stability Solution Of Non-Linear System Of Integro-Differential Equation Of Volterra Type
... non-linear integro-differential equations of Volterra type Consider the following system of non-linear integro-differential equations which has the form : ...
19
Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... Generalized differential transform method (GDTM) is applied to solve linear integro-differential volterra –fredholm equation of fractional order ...
12
A numerical technique based on operational matrices for solving nonlinear integro-differential equations
... In recent years the approximation of orthogonal functions has been play- ing role in the solution of different kinds of mathematical and engineering problems such as identification, analysis and optimal control[15, 16, ...
16
EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
... Abstract: In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential ...
16
Solving a Class of N-Order Linear Differential Equations by the Recursive Relations and it’s Algorithms in MATLAB
... find differential equations, which these equations are N-Order Linear differential equations and solutions relatively complex, therefore researchers have forced to use numerical methods, which are ...
9
An Efficient Numerical Method for Solving Volterra-Fredholm Integro-Differential Equations of Fractional Order by Using Shifted Jacobi-Spectral Collocation Method Mohammed G. S. AL-Safi
... 0 < ν ≤ 1 …(1) Subject to the homogenous boundary conditions: u(a) = 0, u(b) = 0, a ≤ x ≤ b …(2) The organization of the rest of this article is as follows: in section 2 we present some essential definitions of the ...
8
Existence, Uniqueness of solutions for Set Differential Equations Involving Causal Operators with Memory
... Set differential equations [4] have certain advantages that dictate the continued in- terest in ...multivalued differential inclusions or multivalued differential ...ordinary differential ...
11