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J. Biazar and H. Ghazvini, “Convergence of the Homotopy Perturbation Method for Partial Differential Equations,” Nonlinear Analysis: Real World Applications, Vol. 10, No. 5, 2009, pp. 2633-2640. doi:10.1016/j.nonrwa.2008.07.002

has been cited by the following article:

• TITLE: Numerical Solution of Model of Cancer Invasion with Tissue

  AUTHORS: Farhad Hatami, Mohammad Bagher Ghaemi

  KEYWORDS: Chemotaxis; Haptotaxis; Model of Cancer Invasion; New Homotopy Perturbation Method

  JOURNAL NAME: Applied Mathematics, Vol.4 No.7, July 11, 2013

  ABSTRACT: Chemotaxis-haptotaxis model of cancer invasion with tissue remodeling is one of the important PDE’s systems in medicine, mathematics and biomathematics. In this paper we find the solution of chemotaxis-haptotaxis model of cancer invasion using the new homotopy perturbation method (NHPM). Then by comparing some estimated numerical result with simulation laboratory result, it shows that NHPM is an efficient and exact way for solving cancer PDE’s system.