QA272 : Fractional step methods for slove dierential-algebraic equations
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2015
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Abstarct: Deferential Algebraic Equations (DAE) has numerous applications in various sciences
which different methods and approaches are applied to get to a faster answer for their
solutions. One of the presented methods is the Fractional step method for deferential
algebraic equations with indices 1 which is studied in this research. In chapter 1, the
concepts and definitions are explained and we have a short review of the applications of
deferential algebraic equations. In chapter 2, at the beginning, the solution of deferential
algebraic equations with indices 1 is presented, their errors are surveyed, and, afterwards,
this method is generalized for deferential algebraic equations for indices 2. In chapter 3,
this method is studied for compressible and incompressible Navier-Stockes equations and
its algorithm is presented for this method. In the final chapter, first , semi-Lagrangian
method for the Shallow Water equations is investigated. Next, we conclude that the presented
Subtracting Fractional method in this research leads us to a faster answer to the
Shallow Water Equations.
Keywords:
#Mach number #Reynolds #Navier-Stokes #Fractional step #Shallow water Link
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: