Numerical Solution of Landau-Lifshitz Equation in the Theory of Magnetic Elastic
Seyede Somaye Taghavi Takyar
Department of Mathematics, Semnan University, P.O.Box 35195-363, Iran.
Seyed Behnam Taghavi Takyar *
UCAM Universidad, PGO Center, P.O.Box 08025, Barcelona, Spain.
*Author to whom correspondence should be addressed.
Abstract
In this paper we study Landau-Lifshitz equation which describe a nonlinear magnetic elastic in easy-axis ferromagnets. By means of numerical simulation a numerical solitonic solution to above mentioned equation with Standard Finite Difference (SFD) and NonStandard Finite Difference
(NSFD) rules and obtained as a result of solution of Couchy problem using exact analytical solution to Landau-Lifshitz equation as initial data. Then we obtain the error of each method.
Keywords: Non-standard finite dieffrence scheme, standard finite difference scheme, Landau-Lifshitz equation