A New High Precision Algorithm For MKS Equation With Stimulus

The High Precision Direct integration method has been developing quickly and becoming an academic focus since Mr. Zhong Wanxie proposed it in 1994.It intersects of computational mechanics, engineering application and computational mathematics. Based on achieved results, this paper focuses on the combination of multi-symplectic algorithm and high precision algorithm, tries to put high precision multi-symplectic algorithm forward. The paper carries on a series of researches about the new algorithm named MSHPD algorithm as well as some discussion about its application in variable coefficients systems.The paper's mainly innovations as following(1)Discuss multi-symplectic algorithm, high precision algorithm and its combined algorithm on MKS PDE and bring forward a new algorithm named MSHPD algorithm. We know, multi-symplectic algorithm shows the advantage at remaining physical law while high precision algorithm shows its at long term effect of high precision. The paper describes the general steps of MSHPD algorithm to MKS PDE. The high precision multi-symplectic algorithm mentioned in paper has the both advantages. The numerical examples show the algorithm is satisfied.