ON STABILITY ANALYSIS OF FINITE DIFFERENCE SCHEMES FOR GENERALIZED KURAMOTO-TSUZUKI EQUATION WITH NONLOCAL BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

ON STABILITY ANALYSIS OF FINITE DIFFERENCE SCHEMES FOR GENERALIZED KURAMOTO-TSUZUKI EQUATION WITH NONLOCAL BOUNDARY CONDITIONS

Published:2016-09-20 Issue:5 Volume:21 Page:630-643
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Leonavičienė Teresė¹,Bugajev Andrej¹,Jankevičiūtė Gerda¹,Čiegis Raimondas¹

Affiliation:

1. Vilnius Gediminas Technical University

Abstract

A general methodology for the stability analysis of discrete approximations of nonstationary PDEs is applied to solve the Kuramoto-Tsuzuki equation, including also the Schr¨odinger problem. Stability regions are constructed for the explicit, backward and symmetrical Euler schemes. The obtained results are applied to solve the Kuramoto-Tsuzuki problem with a non-local integral boundary condition. Results of computational experiments are provided.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference29 articles.

1. A numerical procedure for diffusion subject to the specification of mass

2. On the convergence inc norm of symmetric difference schemes for nonlinear evolution problems

3. STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS

4. Parallel algorithms for three-dimensional parabolic and pseudoparabolic problems with different boundary conditions

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