A stability analysis of a Eulerian solution method for moving boundary problems in electrochemical machining. (English) Zbl 0713.65087
A front-tracking method, which is based on a system of N nonlinear, autonomous, ordinary differential equations for describing the movement of N marker points on the moving boundary is described. Local stability of equilibrium solutions and global stability of nonequilibrium solutions are analysed. The general considerations are supplemented by several computations of some examples.
Reviewer: E.Krause
MSC:
| 65Z05 | Applications to the sciences |
| 65M20 | Method of lines for initial value and initial-boundary value problems involving PDEs |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 80A30 | Chemical kinetics in thermodynamics and heat transfer |
| 80A22 | Stefan problems, phase changes, etc. |
| 35R35 | Free boundary problems for PDEs |
Keywords:
electrochemical machining; numerical examples; Euler method; front- tracking method; moving boundary; stability; equilibrium solutionsReferences:
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