Variable time-step method with coordinate transformation

DOI10.1016/0045-7825(84)90121-XzbMath0526.65085OpenAlexW2084556747MaRDI QIDQ594570

Ambreesh Kumar, Radhey S. Gupta

Publication date: 1984

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(84)90121-x

zbMATH Keywords

Stefan problemmoving boundary problemscoordinate transformationvariable time-step methods

Mathematics Subject Classification ID

Heat equation (35K05) Thermodynamics of continua (80A17) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (11)

An accurate application of the integral method applied to the diffusion of oxygen in absorbing tissue ⋮ Unnamed Item ⋮ A variable time step Galerkin method for a one-dimensional Stefan problem ⋮ A simple time‐step control scheme ⋮ On a variable time-step method for the one-dimensional Stefan problem ⋮ Numerical approximation for the oxygen diffusion problem. ⋮ The oxygen diffusion problem: analysis and numerical solution ⋮ The new approximate analytic solution for oxygen diffusion problem with time-fractional derivative ⋮ Comparative study between two numerical methods for oxygen diffusion problem ⋮ One-dimensional thermomechanical model for lateral melting and ignition of a thin sheared viscous layer ⋮ Numerical modeling of Stefan problems

Cites Work

• Unnamed Item
• On the numerical integration of a parabolic differential equation subject to a moving boundary condition
• A modified variable time step method for the one-dimensional Stefan problem
• Variable time step methods for one-dimensional Stefan problem with mixed boundary condition
• Complete numerical solution of the oxygen diffusion problem involving a moving boundary
• Moving grid method without interpolations
• TWO METHODS FOR THE NUMERICAL SOLUTION OF MOVING-BOUNDARY PROBLEMS IN DIFFUSION AND HEAT FLOW
• A Method for Solving Moving Boundary Problems in Heat Flow using Cubic Splines or Polynomials
• Numerical Solution of a Diffusion Consumption Problem with a Free Boundary
• A Finite Element Moving Boundary Computation with an Adaptive Mesh
• A Moving Boundary Problem Arising from the Diffusion of Oxygen in Absorbing Tissue

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