QA259 : Solving Of Fractional Differential-Algebraic Equation By Semi-Analytical Methods
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2014
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Abstarct: In recent years, much research has been focused on the numerical solution of
differential-algebraic equations by semi-analytical methods. In this thesis, semianalytical suitable methods for fractional differential-algebraicl equations were
checked. Some of these methods are Variational Iteration method, Adomian Decomposition method and Homotopy analisys method.
Most fractional differential-algebraic equations do not have exat analytic soulotion and classical methods for solving these equations are very complex and in
some cases are impossible, so we try to obtain approximate solutions of fractional
differential-algebraic equations with semi-analytical methods.
The first chapter introduces the basic concepts of differential equations of order
fractional. Variational iteration methods are introduced in details and its use of
fractional differential-algebraic equations are expressed in chapter two, Then we
provide a numerical example at the end of the second chapter. In the third chapter, adomian decomposition method is introduced and application of this method
in differential differential-algebraic equations with a few examples are indicated.
In the fourth chapter, we describe basic concepts of Homotopy analysis method,
then we introduce the Homotopy analysis in the fractional differential-algebraic
equations, and this chapter is ended with some numerical examples.
Keywords:
#Fractional differential-algebraical equation #Variational iteration #Adomian decomposition #Homotopy analysis Link
Keeping place: Central Library of Shahrood University
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Keeping place: Central Library of Shahrood University
Visitor: