Solving system of integro differential equations using discrete adomian decomposition method
نویسندگان
چکیده
منابع مشابه
Solution of Fractional Integro-differential Equations by Adomian Decomposition Method
Fractional integro-differential equations arise in the mathematical modelling of various physical phenomena like heat conduction in materials with memory, diffusion processes etc. In this paper, we have taken the fractional integro-differential equation of type Dy(t) = a(t)y(t) + f(t) + ∫ t
متن کاملSolving nth-Order Integro-Differential Equations Using the Combined Laplace Transform-Adomian Decomposition Method
In this paper, the Combined Laplace Transform-Adomian Decomposition Method is used to solve nth-order integro-differential equations. The results show that the method is very simple and effective.
متن کاملSystem of Linear Fractional Integro-Differential Equations by using Adomian Decomposition Method
In this paper, Adomian decomposition method is applied to solve system linear fractional integro-differential equations. The fractional derivative is considered in the Caputo sense. Special attentions are given to study the convergence of the proposed method. Finally, some numerical examples are provided to show that this method is computationally efficient. Refer ences A. Arikoglu, and I. Ozko...
متن کاملDiscrete Collocation Method for Solving Fredholm–Volterra Integro–Differential Equations
In this article we use discrete collocation method for solving Fredholm–Volterra integro– differential equations, because these kinds of integral equations are used in applied sciences and engineering such as models of epidemic diffusion, population dynamics, reaction–diffusion in small cells. Also the above integral equations with convolution kernel will be solved by discrete collocation metho...
متن کاملSolving Differential Equations by Using a Combination of the First Kind Chebyshev Polynomials and Adomian Decomposition Method
In this paper, we are going to solve a class of ordinary differential equations that its source term are rational functions. We obtain the best approximation of source term by Chebyshev polynomials of the first kind, then we solve the ordinary differential equations by using the Adomian decomposition method
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Taibah University for Science
سال: 2019
ISSN: 1658-3655
DOI: 10.1080/16583655.2019.1625189