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, 5061--5072
AMA Style
Qin Yanmei, Wu Kaiteng, Numerical solution of fractional bioheat equation by quadratic spline collocation method. J. Nonlinear Sci. Appl. (2016); 9(7):5061--5072
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): 5061--5072
Keywords
- Quadratic spline collocation method
- fractional bioheat equation
- hyperthermia.
MSC
- 65M70
- 35K05
- 92C50
- 35R11
- 35Q92
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