High accuracy two-level implicit compact difference scheme for 1D unsteady biharmonic problem of first kind: application to the generalized Kuramoto–Sivashinsky equation

DOI10.1080/10236198.2019.1568423zbMath1417.65153OpenAlexW2915024310MaRDI QIDQ4632374

Ranjan Kumar Mohanty, Deepti Kaur

Publication date: 29 April 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2019.1568423

zbMATH Keywords

unconditional stabilitysingularitycompact difference schemeextended Fisher-Kolmogorov equationgeneralized Kuramoto-Sivashinsky equationblock tri-diagonal matrices

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Iterative numerical methods for linear systems (65F10) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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