A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation

DOI10.1016/j.amc.2017.04.009zbMath1411.65114OpenAlexW2606110386MaRDI QIDQ1738120

Deepti Kaur, Sean McKee, Ranjan Kumar Mohanty

Publication date: 29 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.04.009

zbMATH Keywords

unconditionally stablemaximum absolute errorsfourth-order parabolic equationsthree spatial grid pointstri-diagonal systemtwo-level implicit method

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) 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)

Related Items (4)

Unconditionally stable compact theta schemes for solving the linear and semi-linear fourth-order diffusion equations ⋮ Approximation of \(p\)-biharmonic problem using WEB-spline based mesh-free method ⋮ Determination of the time-dependent thermal grooving coefficient ⋮ A comparative study of cubic B-spline-based quasi-interpolation and differential quadrature methods for solving fourth-order parabolic PDEs

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