نتایج جستجو برای: keywords adomian decomposition method

تعداد نتایج: 3367317  

Journal: :Advances in Mathematics 2023

In this article, Adomian Method is applied for spatially inhomogeneous Population Balance Equation incorporating breakage and coalescence processes in both batch continuous flow systems. It should be Note that the analytical solutions obtained using technique are not available literature.

Journal: :Journal of Applied Mathematics and Physics 2023

This paper presents a technique for obtaining an exact solution the well-known Laguerre’s differential equations that arise in modeling of several phenomena quantum mechanics and engineering. We utilize efficient procedure based on modified Adomian decomposition method to obtain closed-form solutions associated equations. The proposed makes sense as attitudes acquired towards neighboring singul...

Journal: :Journal of applied mathematics and computation 2023

Many time-varying phenomena of various fields in science and engineering can be modeled as a stochastic differential equations, so investigation of conditions for existence of solution and obtain the analytical and numerical solutions of them are important. In this paper, the Adomian decomposition method for solution of the stochastic differential equations are improved.  Uniqueness and converg...

2008
Inkyung Ahn

In this paper, we show that with a few modifcations and techniques the Adomian Decomposition Method (ADM) for solving a class of hyperbolic equations with nonlocal conditions can be applied to obtain the exact solutions to this type of problems. The clue of this one consists in transforming the boundary value nonlocal problem into a classical problem whose solution is obtained.

Journal: :AL-Rafidain Journal of Computer Sciences and Mathematics 2014

Journal: :Engineering Applications of Computational Fluid Mechanics 2020

2013
Najeeb Alam Khan Asmat Ara Nadeem Alam Khan

*Correspondence: [email protected] 1Department of Mathematical Sciences, University of Karachi, Karachi, 75270, Pakistan Full list of author information is available at the end of the article Abstract The aim of this article is to introduce the Laplace-Adomian-Padé method (LAPM) to the Riccati differential equation of fractional order. This method presents accurate and reliable results and has ...

Journal: :Applied Mathematics and Computation 2006
Jafar Biazar

In this article the problem of the spread of a non-fatal disease in a population which is assumed to have constant size over the period of the epidemic is considered. Mathematical modeling of the problem leads to a system of non-linear ordinary differential equations. Adomian decomposition method is employed to solve this system of nonlinear ordinary differential equations, the problem of conve...

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