同伦摄动法在复杂人体组织传热的时间分数阶方程中的应用

摘要

The homotopy perturbation method is extended to solve time fractional partial differential Pennes equation.In combination with difference method,the third order approximate solutions are obtained at ease.The numerical solutions of the Pennes equation under some values of the fractional order are given.The results show that HPM method with difference method is of high accuracy and easy computation.%针对时间分数阶Pennes生物传热方程，构造了同伦摄动法，将同伦摄动法(HPM)与差分方法相结合，求出了关于时间分数阶Pennes生物传热方程的三阶近似解，并给出了数值算例。结果表明：HPM方法求解 Pennes方程近似解时，具有数值解精度高，计算简单的优点。