GLOBAL ANALYSIS IN THE NUMERICAL TREATMENT OF THE SKYRME EQUATION

Nguyễn Ái Việt

Abstract


The Skyrme equation used widely in Physics is singular at the boundary r = 0. The singularity causes uncontrollable instabilities in the numerical solutions. This paper presents a new computa- tional schema to overcome this difficulty to give the solutions with an arbitrarily high accuracy by combining the numerical methods with a global analysis.

 

 

PACS numbers: 21.65.-f,11.30.Rd, 02.60.Lj,13.75.Gx, 13.85.-t

Keywords: Computational Physics, Numerical Computation, Differential Equation.

 




DOI: https://doi.org/10.15625/0866-708X/52/3/3685

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Published by Vietnam Academy of Science and Technology