Meshfree method for solving mathematical fractional order model of capillary formation in tumor angiogenesis

Document Type : Original Paper


Department of Mathematics, Lorestan University


This paper was devoted to numerical solution of capillary formation in tumor angiogenesis with time fractional derivative. A time discretization approach based on the θ-weighted fractional finite difference scheme was employed for time fractional derivative and a mesh free process was applied by using radial basis functions (RBFs). Stability analysis of the method was also investigated and some numerical cases were studied.


Main Subjects

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  • Receive Date: 06 April 2015
  • Revise Date: 22 November 2015
  • Accept Date: 16 December 2015
  • First Publish Date: 16 December 2015