Work

Study and Solution of the Ginzburg-Landau Equation for Superconductivity Problems

Year: 2024

Type: conference-paper

Abstract: This work focuses on the study and numerical solution of the Ginzburg-Landau (hereafter referred to as GL) partial differential equation, which models the behavior of superconducting materials. Depending on its parameters, the Ginzburg-Landau model can exhibit chaotic states that are challenging to approximate numerically, requiring the use of high-order numerical schemes. In this work, the resolution of this model was addressed in both the 1D and 2D cases. In both cases, an IMEX-type method based on finite differences was used, which provided good results.

DOI: 10.17979/spudc.9788497498913.7

Authors: Víctor Hernández Piñeiro, Víctor González Tabernero, Ana María Ferreiro Ferreiro

Institution: Universidade da Coruña

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

OpenAlex ID: W4407417931

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