efficient numerical method for solution of boundary value problems with additional conditions

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Abstract
Abstract An efficient numerical method for solution of boundary value problems with additional condition is presented. The approach is based on the shooting method but the procedure of seeking “the proper shot” allows one to satisfy “additional” boundary conditions. General considerations are illustrated by a real example. The computational example concerns the “dead zone” regime for the non-linear diffusion-reaction equation in heterogeneous catalysis. Accuracy and efficiency of the presented method confirm results obtained for a wide range of changes of process parameters, including the vicinity of a critical point. Calculations were performed with the use of the Maple® program.
Reference Key
szukiewiczbrazilianefficient Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Mirosław K. Szukiewicz
Journal database and network journal
Year Year not found
DOI
10.1590/0104-6632.20170343s20150663
URL
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0104-66322017000300873&lng=en&tlng=en
Keywords
numerical algorithm

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