In this present work,we propose two local energy-preserving schemes for the Camassa-Holm equation,which can preserve both the local energy conservation law and the local mass conservation law,that is to say,these two schemes can accurately preserve energy and mass in any time and space regions.The local energy-preserving scheme is an extension of the global energy-preserving scheme,which eliminates the dependence on boundary conditions of the latter.Moreover,under suitable boundary conditions,such as periodic or homogeneous boundary condition,the local energy conservation law and local mass conservation law can be transformed into the corresponding global conservation laws.Finally,numerical experiments verify the splendid effect of the proposed schemes.
关键词
Camassa-Holm方程/局部能量守恒格式/局部能量守恒律/局部质量守恒律
Key words
Camassa-Holm equation/Local energy-preserving scheme/Local energy conservation law/Local mass conservation law
维普
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