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Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method

机译:修正最小二乘混合有限元法对修正正则长波方程的数值模拟

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摘要

A kind of modified regularized long wave (MRLW) equation, with some initial conditions, is solved numerically by a split least-squares mixed element method (SLSMEM), which can be split into two independent symmetric positive definite sub-schemes and solved separately. This method is useful for obtaining numerical solutions with high degree of accuracy. Numerical examples show that the SLSMEM satisfies conservation laws.
机译:通过最小二乘混合单元法(SLSMEM),可以对一类具有一定初始条件的修正正则长波(MRLW)方程进行数值求解,该方法可以分解为两个独立的对称正定子方案并分别求解。该方法对于获得高精度的数值解很有用。数值算例表明,SLSMEM满足守恒定律。

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