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

DOI10.3846/13926292.2016.1198836zbMath1488.65254OpenAlexW2523629051MaRDI QIDQ5011642

Teresė Leonavičienė, Gerda Jankevičiūtė, Andrej Bugajev, Raimondas Čiegis

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2016.1198836

zbMATH Keywords

stability analysisfinite difference methodnon-local boundary conditionsKuramoto-tsuzuki equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Ginzburg-Landau equations (35Q56)

Related Items (12)

Unconditionally Optimal Error Analysis of the Second-Order BDF Finite Element Method for the Kuramoto-Tsuzuki Equation ⋮ NONLINEAR ELLIPTIC EQUATION WITH NONLOCAL INTEGRAL BOUNDARY CONDITION DEPENDING ON TWO PARAMETERS ⋮ High order compact finite difference schemes on nonuniform grids ⋮ Unconditionally optimal error estimate of the Crank-Nicolson extrapolation Galerkin finite element method for Kuramoto-Tsuzuki equation ⋮ ON THE SPECTRUM STRUCTURE FOR ONE DIFFERENCE EIGENVALUE PROBLEM WITH NONLOCAL BOUNDARY CONDITIONS ⋮ Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations ⋮ A new eigenvalue problem for the difference operator with nonlocal conditions ⋮ Numerical algorithms for solving the optimal control problem of simple bioreactors ⋮ Influence of complex coefficients on the stability of difference scheme for parabolic equations with non-local conditions ⋮ SEMI-IMPLICIT DIFFERENCE SCHEME FOR A TWO-DIMENSIONAL PARABOLIC EQUATION WITH AN INTEGRAL BOUNDARY CONDITION ⋮ INVESTIGATION OF SPECTRUM CURVES FOR A STURM-LIOUVILLE PROBLEM WITH TWO-POINT NONLOCAL BOUNDARY CONDITIONS ⋮ M-MATRICES AND CONVERGENCE OF FINITE DIFFERENCE SCHEME FOR PARABOLIC EQUATION WITH INTEGRAL BOUNDARY CONDITION

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