A NUMERICAL PROCEDURE THROUGH THE METHOD OF LINES ADDRESSING A GINZBURG-LANDAU TYPE EQUATION ON A NON-CIRCULAR TYPE DOMAIN IN THE CONTEXT OF POLAR AND CARTESIAN COORDINATES

This article develops a method for obtaining an approximate solution for a Ginzburg-Landau type partial differential equation through an application of the generalized method of lines. More specifically, we address the issue of setting a boundary condition on a non-circular domain boundary, in the context of polar and Cartesian coordinates.

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Publication Details

Journal
Far East Journal of Applied Mathematics
Published
2025-07-19
DOI
https://doi.org/10.17654/0972096025007
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

A NUMERICAL PROCEDURE THROUGH THE METHOD OF LINES ADDRESSING A GINZBURG-LANDAU TYPE EQUATION ON A NON-CIRCULAR TYPE DOMAIN IN THE CONTEXT OF POLAR AND CARTESIAN COORDINATES

Fabio Botelho
1 links
Far East Journal of Applied Mathematics
Differential Equations and Boundary Problems
article

A NUMERICAL PROCEDURE THROUGH THE METHOD OF LINES ADDRESSING A GINZBURG-LANDAU TYPE EQUATION ON A NON-CIRCULAR TYPE DOMAIN IN THE CONTEXT OF POLAR AND CARTESIAN COORDINATES

Fabio Botelho
article en

Abstract

This article develops a method for obtaining an approximate solution for a Ginzburg-Landau type partial differential equation through an application of the generalized method of lines. More specifically, we address the issue of setting a boundary condition on a non-circular domain boundary, in the context of polar and Cartesian coordinates.

Far East Journal of Applied MathematicsVol. 118(2)
Openalex Percentile: Top 71%
Differential Equations and Boundary Problems
DOISourceOpenAlex
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A NUMERICAL PROCEDURE THROUGH THE METHOD OF LINES ADDRESSING A GINZBURG-LANDAU TYPE EQUATION ON A NON-CIRCULAR TYPE DOMAIN IN THE CONTEXT OF POLAR AND CARTESIAN COORDINATES — Fabio Botelho · Far East Journal of Applied Mathematics (2025) | TGRS Research Map | TGRS