Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (5): 1311-1322.

Previous Articles     Next Articles

Finite Difference Scheme for the Nonhomogeneous Initial Boundary Value Problem of Critical Schrödinger Map

Haiyun Deng1(),Hui Liu2,*(),Wenjing Song3()   

  1. 1 Department of Applied Mathematics, Nanjing Audit University, Nanjing 211815
    2 School of Mathematical Sciences, Qufu Normal University, Shandong Qufu 273165
    3 College of Science, Xi'an Polytechnic University, Xi'an 710048
  • Received:2020-08-13 Online:2021-10-26 Published:2021-10-08
  • Contact: Hui Liu;;
  • Supported by:
    the NSFC(12001276);the NSFC(12001275);the NSFC(12071219);the NSFC(11901342);the NSFC(12001415);the NSF of Shandong Province(ZR2018QA002);the China Postdoctoral Science Foundation(2019M652350)


In this paper, we study finite difference scheme for the nonhomgeneous initial boundary value problem of critical Schrödinger map in two-dimensional space. We get the convergence and stability of the difference scheme. At the same time, we prove that this difference scheme has good effectiveness and stability by numerical experiments.

Key words: Schrödinger map, Difference scheme, Convergence, Stability

CLC Number: 

  • O241.82