Power series analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities

Power series analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities
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具有分段常数电导率的二维拟拉普拉斯方程的幂级数解析解

DOI:
10.1016/j.cnsns.2018.02.032
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发表时间:
2018-09
影响因子:
3.9
通讯作者:
Noetinger Benoit
Noetinger Benoit
中科院分区:
数学2区
文献类型:
--
作者:
Cao Zhi-Wei;Liu Zhi-Feng;Wang Yi-Zhou;Wang Xiao-Hong;Noetinger Benoit

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In this paper, the analytical solution for 2D quasi-Laplace equation with piecewise constant conductivities is provided. The analytical solution can be expressed as an infinite power series with a group of intrinsic non-integer power exponents around each singular point. Combined with the given boundary conditions, the coefficient of each term can be determined by numerical methods.
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