Results 11 to 20 of about 445 (153)
Abstract and Applied Analysis, 2013 Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense.
Veyis Turut, Nuran Güzel
doaj +1 more source
Ain Shams Engineering Journal, 2019 In this paper, a modified version of Adomian decomposition method is used to solve a class of nonlinear boundary value problems. It is easy to solve IVP using ADM but there exist some difficulties in solving BVP.
I.L. EL-Kalla +2 more
doaj +1 more source
Engineering Science and Technology, an International Journal, 2018 The aim of this paper is to reveal the effectiveness of Adomian decomposition method (ADM) and differential transform method (DTM) on free vibrations of axial-loaded Timoshenko beams resting on viscoelastic foundation.
Baran Bozyigit +2 more
doaj +1 more source
Comparative study of Adomian decomposition method and Clique polynomial method
Partial Differential Equations in Applied Mathematics, 2022 This paper generated the novel approach called the Clique polynomial method (CPM) using the Clique polynomials raised in graph theory. Nonlinear initial value problems are converted into nonlinear algebraic equations by discretization with suitable grid ...
Kumbinarasaiah S, Mallanagoud Mulimani
doaj +1 more source
Journal of Applied Mathematics and Physics, 2018 In this paper, the ADM method is used to construct the solution of the singular fourth-order partial differential equation.
Béyi Boukary +3 more
openaire +2 more sources
Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions
Journal of Ocean Engineering and Science, 2018 In this paper, we are concerned with the numerical solutions for the parabolic and hyperbolic partial differential equations with nonlocal boundary conditions.
N.A. Al-Zaid, H.O. Bakodah
doaj +1 more source
Journal of Mathematics Research, 2018 In this study, we consider the wave equation with cubic damping with its initial conditions. Homotopy Perturbation Method (HPM), Regular Pertubation Method (RPM) and Adomian decomposition Method (ADM) are applied to this equation. Then, the solution yielding the given initial conditions is gained.
Moussa BAGAYOGO +2 more
openaire +2 more sources
MATEC Web of Conferences, 2016 Numerical Laplace transform method is applied to approximate the solution of nonlinear (quadratic) Riccati differential equations mingled with Adomian decomposition method. A new technique is proposed in this work by reintroducing the unknown function in
Mishra Vinod, Rani Dimple
doaj +1 more source
Numerical treatment for traveling wave solutions of fractional Whitham-Broer-Kaup equations
Alexandria Engineering Journal, 2018 In the concerned article, we present the numerical solution of nonlinear coupled system of Whitham-Broer-Kaup equations (WBK) of fractional order. With the help of Laplace transform coupled with Adomian decomposition method, an iterative procedure is ...
Amjad Ali, Kamal Shah, Rahmat Ali Khan
doaj +1 more source
New View on Nonlinear Picture Fuzzy Integral Equations
Fractal and Fractional, 2023 In this article, we solve the second type of nonlinear Volterra picture fuzzy integral equation (NVPFIE) using an accelerated form of the Adomian decomposition method (ADM).
M. Shehata +3 more
doaj +1 more source