The particular exact solutions of the porous media equation that usually occurs in nonlinear problems of heat and mass transfer, and in biological systems are obtained using Adomian's decomposition method. Also, numerical comparison of particular solutions in the decomposition method indicate that there is a very good agreement between the numerical solutions and particular exact solutions in terms of efficiency and accuracy. (c) 2005 Elsevier B.V. All rights reserved.
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Univ Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi ArabiaUniv Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia
Aljohani, Abdulrahman F.
Rach, Randolph
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George Adomian Ctr Appl Math, 316 South Maple St, Hartford, MI 49057 USAUniv Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia
Rach, Randolph
El-Zahar, Essam
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Prince Sattam Bin Abdulaziz Univ, Fac Sci & Humanities, Dept Math, Alkharj 11942, Saudi Arabia
Menoufia Univ, Fac Engn, Dept Basic Engn Sci, Shibin Al Kawm 32511, EgyptUniv Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia
El-Zahar, Essam
Wazwaz, Abdul-Majid
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St Xavier Univ, Dept Math, Chicago, IL 60655 USAUniv Tabuk, Fac Sci, Dept Math, POB 741, Tabuk 71491, Saudi Arabia