带强耗散项的拟线性波方程的数值解

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On the Numerical Solution of Quasilinear Wave Equation With Strong Dissipative Term

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．
- 周期问题 /
- 拟线性波方程 /
- 差分格式 /
- 数值解
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.
- periodical problem /
- quasilinear wave equation /
- difference scheme /
- numerical solution

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