Results 11 to 20 of about 283,093 (291)
Ain Shams Engineering Journal, 2021 In this study, the multi-step fractional differential transform method (MSFDTM) is employed to obtain approximate analytical solutions of stiff systems of fractional order. The fractional derivative is described in the Caputo sense.
Hytham.A. Alkresheh, Ahmad Izani Ismail
doaj +3 more sources
Numerical solution of stiff systems of differential equations arising from chemical reactions [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 Long time integration of large stiff systems of initial value problems, arising from chemical reactions, demands efficient methods with good accuracy and extensive absolute stability region.
Gholamreza Hojjati +3 more
doaj +1 more source
Second Derivative Block Hybrid Methods for the Numerical Integration of Differential Systems
Fractal and Fractional, 2022 The second derivative block hybrid method for the continuous integration of differential systems within the interval of integration was derived. The second derivative block hybrid method maintained the stability properties of the Runge–Kutta methods ...
Dauda Gulibur Yakubu +3 more
doaj +1 more source
An integration scheme for stiff solid-gas reactor models [PDF]
Modeling, Identification and Control, 2001 Many dynamic models encounter numerical integration problems because of a large span in the dynamic modes. In this paper we develop a numerical integration scheme for systems that include a gas phase, and solid and liquid phases, such as a gas-solid ...
Bjarne A. Foss, Stein O. Wasbø
doaj +1 more source
IEEE Access, 2022 The modeling and simulation of fluid power systems are essential parts of the real-time simulation of virtual prototypes of mobile working machines.
Stanislav Ustinov +2 more
doaj +1 more source
Stiff systems of ordinary differential equations. Part 1. Completely stiff, homogeneous systems [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981 AbstractFor the completely stiff real homogeneous systemwhere e is a small positive parameter, a method is given for the construction of a basis for the solution space.If A has n linearly independent eigenvector functions, then there exists a choice of these, {si}, with corresponding eigenvalue functions {λi}, such that there is a local basis for ...
J. J. Mahony, J. J. Shepherd
openaire +1 more source
Backward Discrete State Event-Driven Approach for Simulation of Stiff Power Electronic Systems
IEEE Access, 2021 Power electronic systems are intrinsically hybrid systems, consisting of continuous states and discrete events. The hybrid nature makes their accurate and efficient simulation challenging to achieve.
Jiahe Ju +4 more
doaj +1 more source
UNIFORM RISK SPECTRA FOR NEGATIVE STIFFNESS SYSTEMS [PDF]
Proceedings of the 8th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2015), 2021 ISBN:978-618-85072-3 ...
Reggiani Manzo, Natalia +3 more
openaire +2 more sources
Stiff systems of ordinary differential equations [PDF]
The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1981 AbstractSolutions of the stiff system of linear differential equationsare obtained in a form yielding tight estimates of their properties, and conditions are obtained under which the operator norm of the map from r to the solution x does not become exponentially large for small values of ε.
Mahony, J. J., Shepherd, J. J.
openaire +2 more sources
A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation [PDF]
, 2017 In this paper we consider the development of Implicit-Explicit (IMEX) Runge-Kutta schemes for hyperbolic systems with multiscale relaxation. In such systems the scaling depends on an additional parameter which modifies the nature of the asymptotic ...
Boscarino, S., Pareschi, L., Russo, G.
core +2 more sources