Solution of a Stefan problem in the theory of laser welding by the method of lines
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Publication:1075034
DOI10.1016/0021-9991(85)90035-XzbMath0591.65087MaRDI QIDQ1075034
Phiroze Kapadia, Michael Davis, J. M. Dowden
Publication date: 1985
Published in: Journal of Computational Physics (Search for Journal in Brave)
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Applications to the sciences (65Z05) Method of lines for boundary value problems involving PDEs (65N40)
Related Items (2)
Efficient numerical solution of one‐phase linear inverse Stefan and Cauchy–Stefan problems in two dimensions: A posteriori error control ⋮ Inverse two-phase nonlinear Stefan and Cauchy-Stefan problems: a phase-wise approach
Cites Work
- On the numerical integration of a parabolic differential equation subject to a moving boundary condition
- The method of lines for Poisson's equation with nonlinear or free boundary conditions
- On a free interface problem for linear ordinary differential equations and the one-phase Stefan problem
- Some aspects of the fluid dynamics of laser welding
- An Application of the Method of Lines to Multidimensional Free Boundary Problems
- The automatic integration of ordinary differential equations
- Unnamed Item
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