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An ill-designed algorithm for solving a multi-dimensional nonlinear diffusion equation in a domain limited by a moving boundary
Deleersnijder, E. (1994). An ill-designed algorithm for solving a multi-dimensional nonlinear diffusion equation in a domain limited by a moving boundary. Math. Comput. Model. 19(10): 75-82
In: Mathematical and Computer Modelling. Elsevier Science: Oxford. ISSN 0895-7177; e-ISSN 1872-9479
Peer reviewed article  
Beschikbaar in  Auteur 
Trefwoorden
    Algorithms
    Equations > Nonlinear equations
    Transport processes > Advection
    Transport processes > Diffusion
    Marien/Kust
Auteur  Top 
  • Deleersnijder, E.
Abstract
    In the Appendix of a recent article, a numerical method was suggested for solving two-dimensional, nonlinear, advection-diffusion equations in a domain limited by a moving boundary. A theoretical analysis reveals that, in most cases, the velocity of the boundary must be predicted to be zero. This undesirable behaviour stems from the incompatibility of the nonlinear numerical stability condition and the criterion allowing the boundary to move. An improvement to the algorithm is briefly outlined.
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