Numerical solution of fractional order smoking model via laplace Adomian decomposition method

Numerical Solution of Volterra Integro-differential Equations of Fractional Order by Laplace Decomposition Method

Numerical solution of integro-differential equations of fractional order by Laplace decomposition method

Abstract: In this paper, Laplace decomposition method is developed to solve linear and nonlinear fractional integrodifferential equations. The proposed method is based on the application of Laplace transform to nonlinear fractional integro-differential equation. The nonlinear term can easily be handled with the help of Adomian polynomials. The fractional derivative is described in the Caputo se...

Numerical Solution of Coupled System of Nonlinear Partial Differential Equations Using Laplace-Adomian Decomposition Method

Aim of the paper is to investigate applications of Laplace Adomian Decomposition Method (LADM) on nonlinear physical problems. Some coupled system of non-linear partial differential equations (NLPDEs) are considered and solved numerically using LADM. The results obtained by LADM are compared with those obtained by standard and modified Adomian Decomposition Methods. The behavior of the numerica...

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

Simulating fractional order systems using multistage Adomian decomposition method

Nonlinear phenomena play a crucial role in applied mathematics and physics. Analytic solutions of nonlinear equations are of fundamental importance and various methods for obtaining analytic solutions have been proposed. In this paper an application of the Adomian decomposition method is introduced for solving nonlinear fractional equations. The results reveal that the proposed method is very e...