Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation

Tingchun Wang; Boling Guo

doi:10.1002/num.20588

Analysis of some finite difference schemes for two-dimensional Ginzburg-Landau equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20588 ◽

2010 ◽

Vol 27 (5) ◽

pp. 1340-1363 ◽

Cited By ~ 32

Author(s):

Tingchun Wang ◽

Boling Guo

Keyword(s):

Finite Difference ◽

Landau Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation

Advances in Computational Mathematics ◽

10.1007/s10444-021-09862-x ◽

2021 ◽

Vol 47 (3) ◽

Author(s):

Qifeng Zhang ◽

Jan S. Hesthaven ◽

Zhi-zhong Sun ◽

Yunzhu Ren

Keyword(s):

Error Estimate ◽

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Pointwise Error

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Finite difference schemes for the two-dimensional multi-term time-fractional diffusion equations with variable coefficients

Computational and Applied Mathematics ◽

10.1007/s40314-021-01551-1 ◽

2021 ◽

Vol 40 (5) ◽

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Fractional Diffusion ◽

Variable Coefficients ◽

Difference Schemes ◽

Diffusion Equations ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Fractional Diffusion Equations

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Spiral Solutions of the Two-Dimensional Complex Ginzburg–Landau Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/35/2/159 ◽

2001 ◽

Vol 35 (2) ◽

pp. 159-161

Author(s):

Liu Shi-Da ◽

Liu Shi-Kuo ◽

Fu Zun-Tao ◽

Zhao Qiang

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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HOC-ADI schemes for two-dimensional Ginzburg–Landau equation in superconductivity

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2021.05.031 ◽

2021 ◽

Author(s):

Linghua Kong ◽

Yiyang Luo ◽

Lan Wang ◽

Meng Chen ◽

Zhi Zhao

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation ◽

Adi Schemes

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High-order implicit finite difference schemes for the two-dimensional Poisson equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.04.006 ◽

2017 ◽

Vol 309 ◽

pp. 222-244

Author(s):

Miguel Uh Zapata ◽

Reymundo Itzá Balam

Keyword(s):

Finite Difference ◽

Poisson Equation ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Implicit Finite Difference

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Long Time Behavior of Difference Approximations for the Two-Dimensional Complex Ginzburg–Landau Equation

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2010.510974 ◽

2010 ◽

Vol 31 (10) ◽

pp. 1190-1211 ◽

Cited By ~ 7

Author(s):

Lei Zhang

Keyword(s):

Landau Equation ◽

Time Behavior ◽

Two Dimensional ◽

Long Time Behavior ◽

Ginzburg Landau ◽

Difference Approximations ◽

Ginzburg Landau Equation ◽

Long Time

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A Comparison of Finite Difference Schemes, Describing the Two-Dimensional Advection Equation

Air Pollution Modeling and Its Application I ◽

10.1007/978-1-4613-3344-9_27 ◽

1981 ◽

pp. 411-416 ◽

Cited By ~ 1

Author(s):

B. J. de Haan

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Advection Equation ◽

Two Dimensional

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Erupting, flat-top, and composite spiral solitons in the two-dimensional Ginzburg–Landau equation

Physics Letters A ◽

10.1016/s0375-9601(01)00571-0 ◽

2001 ◽

Vol 289 (1-2) ◽

pp. 59-65 ◽

Cited By ~ 44

Author(s):

L.-C Crasovan ◽

B.A Malomed ◽

D Mihalache

Keyword(s):

Landau Equation ◽

Two Dimensional ◽

Ginzburg Landau ◽

Ginzburg Landau Equation

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Accelerating technique for implicit finite difference schemes for two dimensional parabolic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160108805056 ◽

2001 ◽

Vol 77 (1) ◽

pp. 135-144 ◽

Cited By ~ 3

Author(s):

Elsayed M.E.M Elbarbary

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Parabolic Partial Differential Equations ◽

Two Dimensional ◽

Partial Differential ◽

Implicit Finite Difference

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Solving one- and two-dimensional unsteady Burgers' equation using fully implicit finite difference schemes

Arab Journal of Basic and Applied Sciences ◽

10.1080/25765299.2019.1613746 ◽

2019 ◽

Vol 26 (1) ◽

pp. 254-268 ◽

Cited By ~ 5

Author(s):

N. A. Mohamed

Keyword(s):

Finite Difference ◽

Burgers Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Two Dimensional ◽

Fully Implicit ◽

Implicit Finite Difference

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