Numerical solution of fractional bioheat equation by quadratic spline collocation method

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Authors
Yanmei Qin
 Key Laboratory of Numerical Simulation of Sichuan Province/College of Mathematics and Information Science, Neijiang Normal University, Neijiang, 641112, P. R. China.
Kaiteng Wu
 Key Laboratory of Numerical Simulation of Sichuan Province/College of Mathematics and Information Science, Neijiang Normal University, Neijiang, 641112, P. R. China.
Abstract
Based on the quadratic spline function, a quadratic spline collocation method is presented for the time
fractional bioheat equation governing the process of heat transfer in tissues during the thermal therapy. The
corresponding linear system is given. The stability and convergence are analyzed. Some numerical examples
are given to demonstrate the efficiency of this method.
Share and Cite
ISRP Style
Yanmei Qin, Kaiteng Wu, Numerical solution of fractional bioheat equation by quadratic spline collocation method, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 7, 50615072
AMA Style
Qin Yanmei, Wu Kaiteng, Numerical solution of fractional bioheat equation by quadratic spline collocation method. J. Nonlinear Sci. Appl. (2016); 9(7):50615072
Chicago/Turabian Style
Qin, Yanmei, Wu, Kaiteng. "Numerical solution of fractional bioheat equation by quadratic spline collocation method." Journal of Nonlinear Sciences and Applications, 9, no. 7 (2016): 50615072
Keywords
 Quadratic spline collocation method
 fractional bioheat equation
 hyperthermia.
MSC
 65M70
 35K05
 92C50
 35R11
 35Q92
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