论文标题
特殊功能和HHL量子算法用于解决电动接触现象中发生的移动边界价值问题
Special Functions and HHL Quantum Algorithm for Solving Moving Boundary Value Problems Occurring in Electric Contact Phenomena
论文作者
论文摘要
这是一系列研究，致力于建模和解决在电触点中发生的热量和传质问题，我们采用和开发数学设备以及量子算法来解决移动的边界价值问题。在这项特殊研究中，我们利用特殊功能，并证明了使用Harrow-Hassidim-lloyd（HHL）量子算法的使用，以找到具有移动边界的通用热方程的精确和近似溶液，作为示例，我们考虑了平面和球形案例。在球体情况下，通过不连续系数的线性移动边界值问题将广义方程式减小并精确求解。在平面案例中，我们使用搭配方法用于近似两相Stefan问题的解决方案。
This is a series of studies devoted to modeling and solving heat and mass transfer problems occurring in electric contacts where we employ and develop mathematical apparatus along with quantum algorithms for solving moving boundary value problems. In this particular study we utilize special functions and demonstrate the use of Harrow-Hassidim-Lloyd (HHL) quantum algorithm for finding exact and approximate solutions of Generalized Heat Equation with moving boundaries and as examples we consider plane and spherical cases. In spherical case the Generalized Heat Equation is reduced to linear moving boundary value problem with discontinuous coefficients and solved exactly. In plane case we use collocation method for approximate solution of Inverse Two-Phase Stefan problem.
