This paper deals with the numerical study of multi-scroll hyperchaotic attractors via the Adomian decomposition method. This objective is achieved by exploiting Hermite interpolating polynomials as nonlinearities in coupled Chua’s circuits. Several examples of generation of multi-scroll attractors highlight the capabilities of the proposed technique.

In this article Adomian decomposition method, as a well-known method for solving functional equations, has been employed to solve systems of Integral–differential equations. Theoretical considerations are discussed, and convergence of the method for these systems is addressed. Some examples are presented to show the ability of the method for such systems. 2004 Elsevier Inc. All rights reserved.

In this paper, an application of Homotopy Analysis Method (HAM) is applied to solve the equation governing the unsteady flow of a polytropic gas. Comparison are made between the Adomian decomposition method and homotopy analysis method. The results reveal that the homotopy analysis method is very effective and simp le and gives the exact solution. Classification 2000 MSC: 34K28 • 35G25 • 34K17

Adomian decomposition method is extended to the calculations of the non-differentiable functions. The iteration procedure is based on Jumarie’s Taylor series. A specific fractional differential equation is used to elucidate the solution procedure and the results are compared with the exact solution of the corresponding ordinary differential equations, revealing high accuracy and efficiency. © 2...

In this paper the Adomian decomposition method is applied to the nonlinear SturmLiouville problem −y + y(t) = λy(t), y(t) > 0, t ∈ I = (0, 1), y(0) = y(1) = 0, where p > 1 is a constant and λ > 0 is an eigenvalue parameter. Also, the eigenvalues and the behavior of eigenfuctions of the problem are demonstrated.

In this work, the solution of a boundary value problem is discussed via a semi analytical method. The purpose of the present paper is to inspect the application of the Adomian decomposition method for solving the Nagumo telegraph equation. The numerical solution is obtained for some special cases so that demonstrate the validity of method.

In the present paper we obtain closed form solutions of spacetime fractional telegraph equations using Adomian decomposition method. The space and time fractional derivatives are considered as Caputo fractional derivative and the solutions are obtained in terms of Mittag-Leffler functions.

Solution of homogeneous fuzzy partial differential equations with specific fuzzy boundary and initial conditions are proposed. Using Adomian Decomposition method, we solve the heat equations for which it is difficult to find the solution by classical methods. We extend the crisp solution in the fuzzy form as a Seikkala solution. MSC: 34A07 • 35K51

In this article, Adomian decomposition method is successfully applied to find an approximate analytical solution of a Stefan problem subject to periodic boundary condition. By using initial and boundary conditions, the explicit solutions of the temperature distribution and the position of moving interface are evaluated and numerical results are depicted graphically. The method performs extremel...

In order to solve the local fractional differential equations, we couple residual method with Adomian decomposition via calculus operator. Several examples are given illustrate solution process and reliability of method.