On the performance of certain direct and iterative methods on equations arising on a two-dimensional in situ combustion simulator


Bahadir A. R. , ELLERBY F.

APPLIED MATHEMATICS AND COMPUTATION, cilt.125, ss.347-358, 2002 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 125
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1016/s0096-3003(00)00136-3
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Sayfa Sayıları: ss.347-358

Özet

A two-dimensional mathematical model of the in situ combustion process involves a set of nonlinear partial differential equations. These equations are discretized in implicit finite-difference form. The resulting set of nonlinear algebraic equations are solved for each time-step by use of a Newton-Raphson procedure. Each Newton iteration produces an equation of the form