Meshless Method for Numerical Solution of Fractional Pennes Bioheat Equation

机译：分数彭尼斯生物乳热方程数值解的丝毫方法

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Fractional calculus and partial differential equations of fractional order have established a new research trend because of their ability to provide in-depth and accurate analysis of the model [3].In modern clinical treatments like cryosurgery,cancer hyperthermia etc.behaviour of heat diffusion in living tissue is an interesting subject [5,6].Hence,some governing equations have been formulated to analyse the thermal behaviour of the biological tissues.Among these proposed models,the Pennes equation is the most extensively used due to its effectiveness [2,4].

机译：分数计算的分数计算和部分微分方程已经建立了一种新的研究趋势，因为它们能够提供对模型的深入和准确分析[3]。在冷冻食道，癌症热疗等现代临床治疗中。在热扩散中的癌症热疗等现代临床治疗活组织是一个有趣的主题[5,6]。应该制定了一些控制方程来分析生物组织的热行为。该拟议的模型，彭尼斯方程是由于其有效性最广泛的使用[2， 4]。

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《International Conference on Biomedical Engineering》|2021年|xvi 186 p.|共10页
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Hitesh Bansu; Sushil Kumar;
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中图分类生物医学工程;
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3. On the numerical solution of fractional stochastic integro-differential equations via meshless discrete collocation method based on radial basis functions [J] . Mirzaee Farshid, Samadyar Nasrin Engineering analysis with boundary elements . 2019,第MARa期

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4. Meshless Method for Numerical Solution of Fractional Pennes Bioheat Equation [C] . Hitesh Bansu, Sushil Kumar International Conference on Biomedical Engineering . 2021

机译：分数彭尼斯生物乳热方程数值解的丝毫方法
5. Meshless collocation methods for the numerical solution of elliptic boundary valued problems the rotational shallow water equations on the sphere. [D] . Blakely, Christopher D. 2009

机译：椭圆边界值数值解的无网格配点方法使球体上的浅水旋转方程成为问题。
6. The meshless local Petrov–Galerkin method based on moving Kriging interpolation for solving the time fractional Navier–Stokes equations [O] . N. Thamareerat, A. Luadsong, N. Aschariyaphotha -1

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7. Fractional pennes' bioheat equation: Theoretical and numerical studies [O] . Ferras, Luis L., Ford, Neville J., Morgado, Maria L., 2015

机译：分数潘尼斯的生物热方程：理论和数值研究

Meshless Method for Numerical Solution of Fractional Pennes Bioheat Equation

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