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Information Seminar Paper

Title

HIGH-ORDER ALTERNATING DIRECTION IMPLICIT COMPACT FINITE DIFFERENCE SCHEME FOR TWO-DIMENSIONAL COMPLEX GINZBURG-LANDAU EQUATION

Pages

 Start Page | End Page

Keywords

2D COMPLEX GINZBURG-LANDAU (GL) EQUATION 
HIGH-ORDER ADI COMPACT DI ERENCE SCHEME (HOC-ADI) 

Abstract

 IN THIS PAPER, WE STUDY THE COMPLEX GINZBURG-LANDAU EQUATION IN TWO SPATIAL DIMENSIONS WITH PERIODICAL BOUNDARY CONDITIONS WITH ALTERNATING DIRECTION IMPLICIT COMPACT FINITE DIFFERENCE SCHEME. THE PROPOSED METHOD HAS FOURTH-ORDER ACCURACY IN SPACE AND SECOND-ORDER ACCURACY IN TIME. THE RESULTS OF NUMERICAL EXPERIMENTS ARE PRESENTED, AND ARE COMPARED WITH ANALYTICAL SOLUTIONS AND OTHER METHODS TO CONFIRM THE ACCURACY AND EFFICIENCY OF THE PRESENTED METHOD.

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