MOVCOL4: A Moving Mesh Code for Fourth‐Order Time‐Dependent Partial Differential Equations

DOI10.1137/050643167zbMath1138.65095OpenAlexW1966542055MaRDI QIDQ5444249

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Publication date: 25 February 2008

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050643167

zbMATH Keywords

numerical examplesblow-upcollocationHermite interpolationmoving-mesh methodthin-film equationfourth-order equationsfinite-time singularities

Mathematics Subject Classification ID

Initial value problems for nonlinear higher-order PDEs (35G25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (15)

Moving mesh methods for blowup in reaction-diffusion equations with traveling heat source ⋮ The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations ⋮ A structure preserving scheme for the Kolmogorov-Fokker-Planck equation ⋮ Monge-Ampére simulation of fourth order PDEs in two dimensions with application to elastic-electrostatic contact problems ⋮ Analysis of a moving collocation method for one-dimensional partial differential equations ⋮ An asymptotic study of blow up multiplicity in fourth order parabolic partial differential equations ⋮ Adaptive Solution to Two-Dimensional Partial Differential Equations in Curved Domains Using the Monge--Ampére Equation ⋮ On the numerical solution of a driven thin film equation ⋮ Moving mesh simulation of contact sets in two dimensional models of elastic-electrostatic deflection problems ⋮ Moving collocation methods for time fractional differential equations and simulation of blowup ⋮ How to adaptively resolve evolutionary singularities in differential equations with symmetry ⋮ MOVCOL4 ⋮ Adaptivity with moving grids ⋮ Numerical simulation of blowup in nonlocal reaction-diffusion equations using a moving mesh method ⋮ Simulation of blow-up solutions to the generalized KdV equations by moving collocation methods

Uses Software

• DASSL
• MOVCOL

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