A Numerical Approach of a Family of Smoluchowskis Equations by Use of Adomian Decomposition Method


Authors

Mohammad Reza Yaghouti - The Department of Mathematics Science, University of Guilan, Rasht, Iran Marzie Malzoumati - The Department of Mathematics Science, University of Guilan, Rasht, Iran Haman Deilami - The Department of Mathematics Science, University of Guilan, Rasht, Iran


Abstract

The Smoluchowski's equation as a partial differential equation models the diffusion and binary coagulation of a large collection of tiny particles. The mass parameter, indexed either by positive integers, or positive real’s, corresponds to the discrete or continuous form of the equations. In this article, we try to use the Adomian's decomposition method (ADM) to approximate the solution of the homogeneous Smolochowski's equation with different kernels. Some test problems have been included to show the accuracy of the method.


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ISRP Style

Mohammad Reza Yaghouti, Marzie Malzoumati, Haman Deilami, A Numerical Approach of a Family of Smoluchowskis Equations by Use of Adomian Decomposition Method, Journal of Mathematics and Computer Science, 4 (2012), no. 4, 514--522

AMA Style

Yaghouti Mohammad Reza, Malzoumati Marzie, Deilami Haman, A Numerical Approach of a Family of Smoluchowskis Equations by Use of Adomian Decomposition Method. J Math Comput SCI-JM. (2012); 4(4):514--522

Chicago/Turabian Style

Yaghouti, Mohammad Reza, Malzoumati, Marzie, Deilami, Haman. "A Numerical Approach of a Family of Smoluchowskis Equations by Use of Adomian Decomposition Method." Journal of Mathematics and Computer Science, 4, no. 4 (2012): 514--522


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