Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-16
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Numerical solution of distributed order fractional differential equations
In this paper a method for the numerical solution of distributed order FDEs (fractional differential equations) of a general form is presented. The method applies to both linear and nonlinear equations. The Caputo type fractional derivative is employed. ...
Numerical Solution of Boundary Value Problems in Differential-Algebraic Systems
This paper extends the theory of shooting and finite-difference methods for linear boundary value problems (BVPs) in ordinary differential equations (ODEs) to BVPs in differential-algebraic equations (DAEs) of the form \[ \begin{gathered} E(t)\mathcal{...
An approximate method for numerical solution of fractional differential equations
Fractional calculus applications in signals and systemsThis paper presents a numerical solution scheme for a class of fractional differential equations (FDEs). In this approach, the FDEs are expressed in terms of Caputo type fractional derivative. Properties of the Caputo derivative allow one to reduce the ...
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Elsevier Science Publishers B. V.
Netherlands
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