Geodesic
Numerical solution of fractional bioheat equation by quadratic spline collocation method
Qin, Yanmei1 ; Wu, Kaiteng1
1 Key Laboratory of Numerical Simulation of Sichuan Province/College of Mathematics and Information Science, Neijiang Normal University, Neijiang, 641112, P. R. China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 7, p. 5061-5072.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.07.09
Classification : 65M70, 35K05, 92C50, 35R11, 35Q92
Keywords: Quadratic spline collocation method, fractional bioheat equation, hyperthermia.

Qin, Yanmei 1 ; Wu, Kaiteng 1

1 Key Laboratory of Numerical Simulation of Sichuan Province/College of Mathematics and Information Science, Neijiang Normal University, Neijiang, 641112, P. R. China 
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Qin, Yanmei; Wu, Kaiteng. Numerical solution of fractional bioheat equation by quadratic spline collocation method. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 7, p. 5061-5072. doi : 10.22436/jnsa.009.07.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.07.09/

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