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Meshfree method for solving mathematical fractional order model of capillary formation in tumor angiogenesis. (Persian. English summary) Zbl 1438.92020

Summary: This paper was devoted to numerical solution of capillary formation in tumor angiogenesis with time fractional derivative. A time discretization approach based on the \(\theta\)-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.

MSC:

92C32 Pathology, pathophysiology
92C15 Developmental biology, pattern formation
26A33 Fractional derivatives and integrals
35Q92 PDEs in connection with biology, chemistry and other natural sciences
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