Results 91 to 100 of about 32,424,344 (291)
Rayleigh-Plesset equation [PDF]
, 2015 Tato bakalářská práce se zabývá numerickým řešením Rayleigh-Plessetovy rovnice. Jejím cílem je tuto rovnici odvodit a sestavit program, který by rovnici řešil metodami Runge-Kutta-Nyström a Runge-Kutta-Fehlberg.This bachelor´s thesis deals with numerical
Hátašová, Justýna
core
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The planar and radial thermal free jets for forced convection of a non‐Newtonian power‐law fluid are investigated. The thermal diffusivity is dependent on the shear‐rate and is not a constant. The flow in planar and radial thermal free jets is governed by the momentum, continuity and energy balance equations. In the stream‐function formulation,
Avnish Bhowan Magan, Rehana Naz
wiley +1 more source
Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations
Abstract and Applied Analysis, 2014 The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations.
Wei Gu, Ming Wang, Dongfang Li
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Generalized disks of contractivity for explicit and implicit Runge-Kutta methods [PDF]
The A-contractivity of Runge-Kutta methods with respect to an inner product norm was investigated thoroughly by Butcher and Burrage (who used the term B-stability).
Dahlquist, G., Jeltsch, R.
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Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
wiley +1 more source
Stability Optimization of Explicit Runge–Kutta Methods with Higher-Order Derivatives
AlgorithmsThe paper is devoted to the parametric stability optimization of explicit Runge–Kutta methods with higher-order derivatives. The key feature of these methods is the dependence of the coefficients of their stability polynomials on free parameters.
Gerasim V. Krivovichev
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Effect of Variations in the Ring Thickness on the Dynamic Performance of the Bimetal Gears
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This study used a six‐degrees‐of‐freedom dynamic model to analyze the dynamic response of bimetal spur gears. Aluminum alloy forms the core of the bimetal gears, and a uniform‐thickness steel ring surrounds the teeth. Gear mesh stiffness of bimetal gears and the transmission error have been assessed using a numerical approach based on finite ...
Bikramjit Singh +2 more
wiley +1 more source
Journal of Applied Mathematics, 2014 This paper is concerned with the numerical stability of Runge-Kutta methods for a class of nonlinear functional differential and functional equations.
Yuexin Yu, Zhongyan Liu, Liping Wen
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RETRACTED: Examination of bio convection with nanoparticles containing microorganisms under the influence of magnetism fields on vertical sheets by five-order Runge-Kutta method [PDF]
, 2023 Reza Fathollahi +5 more
openalex +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT An experimental campaign was undertaken to demonstrate the applicability of the Bouc–Wen hysteretic model to describe the hysteretic system of the recent Framatome dimple‐less spacer grid design for Pressurized Water Reactors. The experimental setup subjected a reduced‐length fuel rod, supported at both ends by dimple‐less grids, to forced ...
Giovanni Ferrari +3 more
wiley +1 more source