| 求解广义BBM-Burgers方程的一个两层非线性守恒差分格式 |
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| 作者姓名： | &# &# &# &# &# &# &# &# |
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| 作者单位： | 1.西华大学理学院 |
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| 摘 要： | 对广义BBM-Burgers方程的初边值问题进行了数值研究，提出一个两层非线性Crank-Nicolson差分格式，格式合理地模拟方程本身的一个守恒量，得到差分解的先验估计和存在唯一性，并利用能量方法分析该格式的二阶收敛性与无条件稳定性。
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| 关 键 词： | 广义BBM-Burgers方程 差分格式 守恒 收敛性 稳定性 |
Two Level Nonlinear Conservative Difference Scheme for Solving Generalized BBM-Burgers Equation |
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| &#,&#,&#,&#,&#,&#,&#,&#.Two Level Nonlinear Conservative Difference Scheme for Solving Generalized BBM-Burgers Equation[J].Journal of Xihua University:Natural Science Edition,2015,34(3):89-93，96. |
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| Authors: | HU Jin-song WANG Ting-ting CHEN Tao |
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| Abstract: | In this paper, a two level nonlinear Crank-Nicolson difference scheme is proposed. The scheme provides a numerical solution to the initial boundary value problem of general BBM-Burgers equation. A conservative variable of the equation is simulated well with the scheme. In the simulation, the prior estimate and uniqueness of the solution are also obtained. In addition, the second order convergence and unconditional stability are proved by using energy analysis.
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