Results 81 to 90 of about 6,268 (199)

The Adomian Decomposition Method for Eigenvalue Problems

Journal of Applied & Computational Mathematics, 2016
The Adomian decomposition method (ADM) is a powerful method which considers the approximate solution of a non-linear equation as an infinite series which usually converges to the exact solution. In this paper, this method is proposed to solve some eigenvalue problems.
Nhawu G, Mafuta P
openaire   +1 more source

A Note on Multidimensional Sumudu‐Generalized Laplace Decomposition Method and Singular Pseudo‐Hyperbolic Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
The objective of this research is to establish an effective methodology for addressing specific linear, nonlinear, singular n + 1‐dimensional fractional pseudo‐hyperbolic equations via the use of the multi‐Sumudu and generalized Laplace transforms combined with the decomposition method.
Hassan Eltayeb, Said Mesloub, Shrideh K. Q. Al-Omari   +2 more
wiley   +1 more source

Numerical analysis of Lane Emden–Fowler equations

Journal of Taibah University for Science, 2018
This paper is devoted to the numerical solutions of Lane Emden–Fowler partial differential equations. For the numerical analysis, we apply Laplace transform coupled with the Adomian decomposition method known as the Laplace Adomian decomposition method ...
Atta Ullah, Kamal Shah
doaj   +1 more source

Solving the nonlinear biharmonic equation by the Laplace-Adomian and Adomian Decomposition Methods

Surveys in Mathematics and its Applications, 2018
20 pages, 4 ...
Man Kwong Mak, Chun Sing Leung, Tiberiu Harko   +2 more
openaire   +4 more sources

Numerical Investigation of a Fractional Cancer Chemotherapy Effect Model Using the Homotopy Decomposition Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav, M. M. Gour, S. D. Purohit, D. L. Suthar, A. M. Nagy   +4 more
wiley   +1 more source

The exact solutions of nonlinear problems by Homotopy Analysis Method (HAM) [PDF]

Computational Ecology and Software, 2016
The present paper presents the comparison of analytical techniques. We establish the existence of the phenomena of the noise terms in the perturbation series solution and find the exact solution of the nonlinear problems.
Hafiz Abdul Wahab, Saira Bhatti, Mohammad Naeem   +2 more
doaj  

Adomian Decomposition Method- a brief introduction

Anusandhaan - Vigyaan Shodh Patrika, 2019
In present article, an attempt is made to give a brief introduction of Adomian Decomposition Method(ADM) for solving differential equations. Advantage and accuracy of the method is shown by solving some examples.
openaire   +1 more source

Exact Soliton Dynamics and Stability Analysis of a Fractional Order Coupled Wu‐Zhang System via a Generalized Riccati−Bernoulli−Bäcklund Approach

Journal of Mathematics, Volume 2026, Issue 1, 2026.
To investigate the fractional coupled Wu‐Zhang system analytically, this paper uses a hybrid generalized Riccati−Bernoulli sub‐ODE scheme and Bäcklund transformation to find the exact kink, antikink, and bright‐kink soliton solutions. The dynamical properties of these solutions are discussed using Hamiltonian formulation, phase‐portrait analysis, and ...
M. Mossa Al-Sawalha, Linda Alzaben, Asıf Yokus   +2 more
wiley   +1 more source

Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations

Abstract and Applied Analysis, 2012
We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM).
Hassan Eltayeb, Adem Kılıçman
doaj   +1 more source

Numeric-Analytic Solutions for Nonlinear Oscillators via the Modified Multi-Stage Decomposition Method

Mathematics, 2019
This work deals with a new modified version of the Adomian-Rach decomposition method (MDM). The MDM is based on combining a series solution and decomposition method for solving nonlinear differential equations with Adomian polynomials for nonlinearities.
Emad A. Az-Zo’bi, Kamel Al-Khaled, Amer Darweesh   +2 more
doaj   +1 more source