The stability conditions of finite difference schemes for schrödinger, Kuramoto‐Tszuki and heat equations
DOI: https://doi.org/10.3846/13926292.1998.9637101Abstract
We consider various finite difference schemes for the first and the second initial‐boundary value problems for linear Kuramoto‐Tsuzuki, heat and Schrödinger equations in d‐dimensional case. Using spectral methods, we find the conditions of stability on initial data in the L2 norm.
First Published Online: 14 Oct 2010
Keywords:
-How to Cite
Radžiūnas, M., & Ivanauskas, F. (1998). The stability conditions of finite difference schemes for schrödinger, Kuramoto‐Tszuki and heat equations. Mathematical Modelling and Analysis, 3(1), 177-194. https://doi.org/10.3846/13926292.1998.9637101
Share
License
Copyright (c) 1998 The Author(s). Published by Vilnius Gediminas Technical University.
This work is licensed under a Creative Commons Attribution 4.0 International License.
View article in other formats
CrossMark check
Published
1998-12-15
Issue
Section
Articles
Copyright
Copyright (c) 1998 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Radžiūnas, M., & Ivanauskas, F. (1998). The stability conditions of finite difference schemes for schrödinger, Kuramoto‐Tszuki and heat equations. Mathematical Modelling and Analysis, 3(1), 177-194. https://doi.org/10.3846/13926292.1998.9637101