Mathematical modelling of a biofilm: The Adomian decomposition method

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A reliable modification of Adomian decomposition method

In this paper we propose a powerful modi®cation of Adomian decomposition method that will accelerate the rapid convergence of the series solution. The validity of the modi®ed technique is veri®ed through illustrative examples. In all cases of di€erential and integral equations, we obtained excellent performance from the modi®ed algorithm. The modi®cation could lead to a promising approach for m...

متن کامل

On the convergence of Adomian decomposition method

Here, a simple method to determine the rate of convergence of Adomian decomposition method is introduced. The proposed method is used to compare between the rate of convergence of standard and modified (proposed by Wazwaz [A.M. Wazwaz, A new method for solving singular initial value problems in the second-order ordinary differential equations, Appl. Math. Comput. 128 (2002) 45–57]) Adomian meth...

متن کامل

New Applications of Adomian Decomposition Method

Nonlinear coupled partial differential equations are physical problems since it makes the unnecessary very important in a variety of scientific fields. They arise linearization, perturbation problem being solved. in large number of mathematical and engineering In this study, the ADM is extended to problems, especially in fluid mechanics, solid state analytic-numeric simulation for strictly hype...

متن کامل

Approximate Solutions for Mathematical Model of Carcinogenesis Using Adomian Decomposition Method

In this paper, the Adomian decomposition method (ADM) is applied to obtain the approximate solution of a mathematical model of carcinogenesis which is a Riccati differential equation derived by Moolgavkar and Venzon (see [9]). The numerical solution obtained by this way have been compared with the exact solution which obtained by Moolgavkar and Venzon (see [11]). This comparison show that the (...

متن کامل

Solution of the epidemic model by Adomian decomposition method

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...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Natural Science

سال: 2013

ISSN: 2150-4091,2150-4105

DOI: 10.4236/ns.2013.54059