Series solution for porous medium equation with a source term by Adomian's decomposition method

PAMUK N.

APPLIED MATHEMATICS AND COMPUTATION, cilt.178, sa.2, ss.480-485, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 178 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.11.063
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.480-485
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we consider the cauchy problem for a porous medium equation with a source term. This equation has been widely used as a simple model for a nonlinear heat propagation in a reactive medium [C. Gui, X. Kang, Localization for a porous medium type equation in high dimensions, Transactions of the American Mathematical Society 356 (11) (2004) 4273-4285]. We obtain a series solution of porous media equation with a source term by using Adomian decomposition Method (ADM) [G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Boston, 1994]. (c) 2005 Elsevier Inc. All rights reserved.