求解二阶双曲型方程的自适应网格方法
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周琴,杨银
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Adaptive Mesh Method for Solving a Second-Order Hyperbolic Equation
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Qin Zhou,Yin Yang
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表 6 移动网格上求解的最大模误差($\varepsilon^2=0.0025$)
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| $N\times M$ | $ t=0.5$ | $ r$ | $ t=1$ | $ r$ | $t=1.5$ | $ r$ | $ t=2$ | $ r$ | | $50\times50$ | 1.952E-04 | | 7.678E-04 | | 1.480E-03 | | 2.196E-03 | | | $100\times100$ | 5.472E-05 | 1.83 | 2.433E-04 | 1.66 | 4.720E-04 | 1.65 | 6.970E-04 | 1.66 | | $200\times200$ | 2.099E-05 | 1.38 | 6.838E-05 | 1.83 | 1.354E-04 | 1.80 | 1.999E-04 | 1.80 |
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