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Approximate Solutions for Mathematical Model of Carcinogenesis Using Adomian Decomposition Method
American Journal of Theoretical and Applied Statistics
Volume 6, Issue 5-1, September 2017, Pages: 40-45
Received: Mar. 20, 2017; Accepted: Mar. 21, 2017; Published: Apr. 5, 2017
Authors
Mahmoud M. El-borai, Faculty of Science, Alexandria University, Alexandria, Egypt
M. A. Abdou, Faculty of Education, Alexandria University, Alexandria, Egypt
E. M. Youssef, Faculty of Education, Alexandria University, Alexandria, Egypt
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Abstract
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 (ADM) is a powerful method for solving this differential equations. The method does not need weak nonlinearity assumptions or perturbation theory, the decomposition procedure of Adomian will be obtained easily without linearization the problem by implementing the decomposition method rather than the standard methods for the exact solutions.
Keywords
Adomian Decomposition Method, Riccati Differential Equation, Carcinogenesis, Error Absolute
Mahmoud M. El-borai, M. A. Abdou, E. M. Youssef, Approximate Solutions for Mathematical Model of Carcinogenesis Using Adomian Decomposition Method, American Journal of Theoretical and Applied Statistics. Special Issue: Statistical Distributions and Modeling in Applied Mathematics. Vol. 6, No. 5-1, 2017, pp. 40-45. doi: 10.11648/j.ajtas.s.2017060501.16
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