The preconditioned Jacobian-free Newton-Krylov methods for nonequilibrium radiation diffusion equations

نویسندگان

  • Tao Feng
  • Xijun Yu
  • Hengbin An
  • Qin Li
  • Rongpei Zhang
چکیده

In general, it is difficult to use the Newton–Krylov methods to solve the large-scale multivariable nonequilibrium reaction–diffusion systems. In this paper, by employing two new semi-implicit discretization schemes to construct the preconditioners, the preconditioned Newton–Krylov methods are presented to solve the multidimensional problems. These methods cannot only improve the number of iterations, but also speed up the convergence of solutions. Numerical results are given to illustrate the effectiveness. Crown Copyright© 2013 Published by Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • J. Computational Applied Mathematics

دوره 255  شماره 

صفحات  -

تاریخ انتشار 2014