High accuracy compact operator methods for two-dimensional fourth order nonlinear parabolic partial differential equations

DOI10.1515/cmam-2016-0047zbMath1434.65127OpenAlexW2573255180MaRDI QIDQ2302892

Deepti Kaur, Ranjan Kumar Mohanty

Publication date: 26 February 2020

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2016-0047

zbMATH Keywords

Kuramoto-Sivashinsky equationtransverse vibrationsextended Fisher-Kolmogorov equationcompact operator methodADI methodblock tri-diagonal system

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) PDEs in connection with fluid mechanics (35Q35) KdV equations (Korteweg-de Vries equations) (35Q53) PDEs in connection with biology, chemistry and other natural sciences (35Q92) 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) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Higher-order parabolic systems (35K41)

Related Items (3)

A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations ⋮ Unconditionally stable high accuracy compact difference schemes for multi-space dimensional vibration problems with simply supported boundary conditions ⋮ Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces

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