AAM  >> Vol. 5 No. 2 (May 2016)

    On the Low-Lou Approach for the Nonlinear Force-Free Magnetic Field

  • 全文下载: PDF(580KB) HTML   XML   PP.166-171   DOI: 10.12677/AAM.2016.52022  
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秦剑,李毅伟:太原科技大学应用科学学院,山西 太原

非线性微分方程打靶法无力场Nonlinear Differential Equations Shooting Method Force-Free Field


Nonlinear force-free magnetic field is an important mathematical model in astrophysics, which is a set of nonlinear partial differential equations, often used in the theoretical studies of solar and stellar magnetic fields. In the axisymmetric case, this set of partial differential equations is reduced into a nonlinear ordinary differential equation of second order with an unknown parameter, satisfying certain boundary condition. This is the so-called Low-Lou approach of the problem. In this paper, we propose a parametric shooting method as a technical supplement for the Low- Lou approach, offering more optional numerical force-free magnetic fields.

秦剑, 李毅伟. 非线性无力场的Low-Lou解法探讨[J]. 应用数学进展, 2016, 5(2): 166-171. http://dx.doi.org/10.12677/AAM.2016.52022


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