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Research Article Open access CC BY 4.0

Numerical Solution of Landau-Lifshitz Equation in the Theory of Magnetic Elastic

Seyede Somaye Taghavi Takyar, Seyed Behnam Taghavi Takyar

Journal of Advances in Mathematics and Computer Science · pp. 44–56 · Published 14 Sep 2022

10.9734/jamcs/2022/v37i830471

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.

Non-standard finite dieffrence scheme standard finite difference scheme Landau-Lifshitz equation

References (4)

  1. 1 Nonstandard Finite Difference Models of Differential Equations [DOI]
  2. 2 Applications of Nonstandard Finite Difference Schemes [DOI]
  3. 3 Exact solutions to a finite‐difference model of a nonlinear reaction‐advection equation: Implications for numerical analysis [DOI]
  4. 4 A nonstandard finite difference scheme for a Fisher PDE having nonlinear diffusion [DOI]

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