A study of nonlinear systems arising in the physics of liquid crystals,
using MLPG and DMLPG methods
Abstract
The study of liquid crystals is one of the active areas of research in
physics. In this paper, the MLPG and direct MLPG (DMLPG) methods are
used for the numerical study of the coupled nonlinear sine-Gordon
equations in two dimensions arising from the modeling of some phenomena
in the liquid crystals and superconductors. A comparison of numerical
results between the MLPG and DMLPG methods highlight the precision and
speed of the DMLPG method.