Discreet Solutions for Matrix Systems in Partial Derivatives Hyperbolic and Singular

Details Discreet Solutions for Matrix Systems in Partial Derivatives Hyperbolic and Singular Discreet Solutions for Matrix Systems in Partial Derivatives Hyperbolic and Singular

2011-04-06

arxiv.org/abs/1104.1153v1

Mathematics

Classical Analysis and ODEs

14 pages

Scientific paper

In this paper we study the construction of a discrete solution for a hyperbolic system of partial differentials of the strongly coupled type. In its construction, the discrete separation of matricial variable method was followed. Two separate equations in differences were obtained: a singular matricial and the other one a Sturm Liouville vectorial problem, which by the superposition principle yield a stable discrete solution.

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