带强耗散项的拟线性波方程的数值解 |
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引用本文: | 阿特青,古勒.带强耗散项的拟线性波方程的数值解[J].应用数学和力学,2004,25(7):735-740. |
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作者姓名: | 阿特青 古勒 |
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作者单位: | 玉珍翠延大学 数学系,凡城 65080,土耳其 |
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摘 要: | 研究了一类拟线性波方程的数值解.构造了带强耗散项的拟线性波方程的三级差分格式,并证明其收敛性,估计了差分解的误差.最后给出数值例子.
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关 键 词: | 周期问题 拟线性波方程 差分格式 数值解 |
文章编号: | 1000-0887(2004)07-0735-06 |
收稿时间: | 2002-11-24 |
修稿时间: | 2002年11月24 |
On the Numerical Solution of Quasilinear Wave Equation With Strong Dissipative Term |
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Institution: | Department of Mathematics, Yüzüncü Yil University, Van 65080, Turkey |
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Abstract: | The numerical solution for a type of quasilinear wave equation is studied.The three-level difference scheme for quasi-linear waver equation with strong dissipative term is constructed and the convergence is proved.The error of the difference solution is estimated.The theoretical results are controlled on a numerical example. |
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Keywords: | periodical problem quasilinear wave equation difference scheme numerical solution |
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