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On bounded solutions of transport equation solved with a spectral method
Author(s) -
Martin Olga
Publication year - 2012
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20674
Subject(s) - bounded function , mathematics , partial differential equation , boundary value problem , spectral method , mathematical analysis , function (biology) , finite difference method , boundary values , partial derivative , evolutionary biology , biology
In this article, a spectral method accompanied by finite difference method has been proposed for solving a boundary value problem that accompanies a stationary transport equation. We also prove that the solution is bounded by a value that depends of the source function. The accuracy and computational efficiency of the proposed method are verified with the help of a numerical example. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2012