The Numerical Convergence of the Landau-Lifshitz Equations and Its Simulation | Zendy

Penghong Zhong | Zendy; Shu Wang | Zendy; Ke Wang | Zendy; Yiping Bai | Zendy

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The Numerical Convergence of the Landau-Lifshitz Equations and Its Simulation

Author(s) -

Penghong Zhong,

Shu Wang,

Ke Wang,

Yiping Bai

Publication year - 2010

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2010/124129

Subject(s) - convergence (economics) , landau–lifshitz–gilbert equation , stability (learning theory) , scheme (mathematics) , mathematics , mathematical analysis , physics , mathematical physics , computer science , quantum mechanics , magnetization , machine learning , magnetic field , economics , economic growth

A difference scheme of Landau-Lifshitz (LL for short) equations is studied. Their convergence and stability are proved. Furthermore, a new solution of LL equation is given for testing our scheme. At the end, three subcases of this LL equation are concerned about, and some properties about these equations are shown by a numeric simulation way

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