Numerical Solution of a Nonlocal Problem Modelling Ohmic Heating of Foods

نویسنده

  • C. V. Nikolopoulos
چکیده

Abstract — An upwind and a Lax-Wendroff scheme are introduced for the solution of a one dimensional non-local problem modelling Ohmic heating of Foods. The schemes are studied regarding their consistency, stability and the rate of convergence for the cases that the problem attains a global solution in time. A high resolution scheme is also introduced and it is shown that it is total-variation-stable. Finally some numerical experiments are presented in support of the theoretical results.

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عنوان ژورنال:
  • Comput. Meth. in Appl. Math.

دوره 9  شماره 

صفحات  -

تاریخ انتشار 2009