A stable three-level finite difference scheme for solving the parabolic two-step model in a 3D micro-sphere heated by ultrashort-pulsed lasers. (English) Zbl 1072.65115
The paper deals with a three-level finite difference scheme for parabolic two-step heat equations in a three dimensional micro-sphere heated by pulsed lasers. The authors show that the scheme is unconditionally stable using the discrete energy method. Adequate numerical simulations are presented.
Reviewer: Emil Minchev (Tokyo)
MSC:
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 35K05 | Heat equation |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
Keywords:
stability; micro heat transport equations; ultrashort-pulsed laser; numerical examples; three-level finite difference scheme; parabolic two-step heat equations; micro-sphere heated by pulsed lasersReferences:
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