Numerical solution of fractional bioheat equation by quadratic spline collocation method


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.


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