Nonlinear Integro-differential Equations by Differential Transform Method with Adomian Polynomials

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

Solving high-order nonlinear Volterra-Fredholm integro-differential equations by differential transform method

In this paper, we apply the differential transformation method to high-order nonlinear VolterraFredholm integro-differential equations with separable kernels. Some different examples are considered the results of these examples indicated that the procedure of the differential transformation method is simple and effective, and could provide an accurate approximate solution or exact solution.

numerical study of nonlinear volterra integro-differential equations by adomian's method†

the main purpose of this paper is to consider adomian's decomposition method in non-linear volterra integro-differential equations. the advantages of this method, compared with the recent numerical techniques (in particular the implicitly linear collocation methods) , and the convergence of adomian's method applied to such nonlinear integro-differential equations are discussed. finall...

Nonlinear Integro - Differential Equations

Solving 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.