Direct meshless local Petrov-Galerkin (DMLPG) method for 2D complex Ginzburg-Landau equation

DOI10.1016/j.enganabound.2018.05.008zbMath1464.65129OpenAlexW2806865836WikidataQ129760275 ScholiaQ129760275MaRDI QIDQ1717171

Erdal Karapınar

Publication date: 7 February 2019

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.05.008

zbMATH Keywords

local weak formdirect meshless local Petrov-Galerkin (DMLPG) methodcomplex Ginzburg-Landau (GL) equationgeneralized moving least square (GMLS)

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Ginzburg-Landau equations (35Q56)

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Numerical solution of an inverse source problem for a time-fractional PDE via direct meshless local Petrov-Galerkin method ⋮ A study of nonlinear systems arising in the physics of liquid crystals, using MLPG and DMLPG methods ⋮ DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs ⋮ Simulations of dendritic solidification via the diffuse approximate method ⋮ Numerical study of the variable-order time-fractional mobile/immobile advection-diffusion equation using direct meshless local Petrov-Galerkin methods ⋮ A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation ⋮ High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg-Landau equation ⋮ A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation ⋮ DMLPG method for numerical simulation of soliton collisions in multi-dimensional coupled damped nonlinear Schrödinger system which arises from Bose-Einstein condensates ⋮ A linearized element-free Galerkin method for the complex Ginzburg-Landau equation ⋮ Numerical study of the unsteady 2D coupled magneto-hydrodynamic equations on regular/irregular pipe using direct meshless local Petrov-Galerkin method ⋮ A meshless method for solving nonlinear variable-order fractional Ginzburg-Landau equations on arbitrary domains

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