Research on Preserving Symplectic Algorithm for Appell Equations of Nonholonomic Systems
In this paper,the undetermined tensor method is used to Birkhoffize the Appell equation for a nonholonomic system. The generating functions are obtained according to the construction principle of generating functions,and then a Birkhoff symplectic scheme is given. Finally,a specific example of Ap-pell equation is provided to verify the above theory and simulate this example. The results show that the preserving algorithm is more effective and superior with the evolution of time.
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