The theoretical analysis is given in order to derive the equation of motion in a fractional framework. The new equation has a complicated structure involving the left and right fractional derivatives of Caputo-Fabrizio type, so a new numerical method is developed in order to solve the above-...
of motion refraction of light maxwell's equation electrostatics bernoulli's principle projectile motion electric charge physics symbols more chemistry periodic table stereochemistry organic compounds inorganic chemistry quantum numbers atomic mass of elements periodic properties of elements 118 elements and their...
The Duffing's equation arises in the motion of a simple pendulum. A few numerical values is presented for the numerical solution of the differential equation based on the ODE 45 solver, fundamentally 4th order Runge- Kutta based. The 4th order Runge-Kutta method has been applied in diverse a...
Contribution. In this work, we propose and analyze a new Hermite interpolation technique on Riemannian manifolds. Extending upon [26,31] in being able to handle velocity constraints, our approach utilizes retractions to construct a novel class of endpoint curves. Retractions can be thought as firs...
This equation is further developed to be approximated in terms of the stress and elasticity coefficients as follows $$\begin{aligned} {\mathop {\mathrm {lim}}_{\lambda _a\rightarrow {\lambda }_b} \frac{{\beta }_b{{\lambda }_b}^{-2}-{\beta }_a{{\lambda }_a}^{-2}}{{{\la...
initial value problemsintegration/ period preserving schemesnumerical integrationequation of motiondifferential equation of motionnumerically engendered energy sinkspurious viscosityNot Availabledoi:10.1006/jsvi.2000.3125I. FRIEDElsevier LtdJournal of Sound & Vibration...
On the basis of the potential flow theory, Lagrange's equation of motion is used to study the unsteady ground-effect problem. The forces and moments acting on the moving body are solved in terms of the derivatives of added masses in which the generalized Taylor's formulae are applied. The...