Wavelet collocation methods for solving the Pennes bioheat transfer equation

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• 作者：Z. Kalateh Bojdi^a ; ^{z.kalatehbojdi@student.kgut.ac.ir} ; A. Askari Hemmat^b ; ¹ ; ^{askari@uk.ac.ir}
• 关键词：Wavelet ; MRA ; Daubechies wavelet ; Collocation method ; Finite difference method ; Pennes bioheat transfer equation
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：130
• 期：Complete
• 页码：345-355
• 全文大小：449 K
• 卷排序：130

文摘

In this paper we study the wavelet collocation method for solving the Pennes bioheat transfer equation which models the thermal behavior of living tissue. The wavelet collocation method is used to approximate the space operator and the finite difference method is applied for time discretization. Compactly supported wavelets of Daubechies are used to conduct a multiresolution analysis (MRA). Numerical results show that the proposed method is effective. The absolute error for this method is reported.