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Volume 16, Issue 2
An Explicit Finite Difference Scheme for Sine-Gordon Equation in Two Dimensions

Ying Zhang

J. Info. Comput. Sci. , 16 (2021), pp. 118-121.

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  • Abstract

In this paper, we aim to construct an explicit finite difference scheme for solving the two-dimensional sine–Gordon equation. By using Taylor expansion, we prove that the local truncation error of the scheme is of $o(h^2+\tau^2)$ with grid size $h$ and time step $\tau.$ Numerical results are reported to test the theoretical analysis.

  • Keywords

Nonlinear sine-Gordon equation, Finite difference method.

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COPYRIGHT: © Global Science Press

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@Article{JICS-16-118, author = {Zhang , Ying}, title = {An Explicit Finite Difference Scheme for Sine-Gordon Equation in Two Dimensions}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {16}, number = {2}, pages = {118--121}, abstract = {

In this paper, we aim to construct an explicit finite difference scheme for solving the two-dimensional sine–Gordon equation. By using Taylor expansion, we prove that the local truncation error of the scheme is of $o(h^2+\tau^2)$ with grid size $h$ and time step $\tau.$ Numerical results are reported to test the theoretical analysis.

}, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22369.html} }
TY - JOUR T1 - An Explicit Finite Difference Scheme for Sine-Gordon Equation in Two Dimensions AU - Zhang , Ying JO - Journal of Information and Computing Science VL - 2 SP - 118 EP - 121 PY - 2024 DA - 2024/01 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22369.html KW - Nonlinear sine-Gordon equation, Finite difference method. AB -

In this paper, we aim to construct an explicit finite difference scheme for solving the two-dimensional sine–Gordon equation. By using Taylor expansion, we prove that the local truncation error of the scheme is of $o(h^2+\tau^2)$ with grid size $h$ and time step $\tau.$ Numerical results are reported to test the theoretical analysis.

Zhang , Ying. (2024). An Explicit Finite Difference Scheme for Sine-Gordon Equation in Two Dimensions. Journal of Information and Computing Science. 16 (2). 118-121. doi:
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