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A C0P1 Time Stepping Method for Solving 2D Sine-Gordon Equations(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2017年01期
Page:
1-
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
A C0P1 Time Stepping Method for Solving 2D Sine-Gordon Equations
Author(s):
Sheng Huashan
School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China
Keywords:
time stepping method; sine-Gordon equations; linear interpolation; full-discrete scheme
PACS:
O24
DOI:
10.3969/j.issn.1001-4616.2017.01.001
Abstract:
This paper proposes a continuous piecewise linear(called C0P1 for short)time stepping method[1] combined with local linearization for solving 2D sine-Gordon equations. First of all,the sine-Gordon equations are discretized in time direction by a linear continuous Galerkin method combined with the explicit or implicit local linearization,leading to a semi-discrete scheme. Furthermore,a full-discrete scheme is obtained by spatial discretization with the finite element method[2]. Several numerical experiments are given to perform the effectiveness of the method.

References:

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