Results 11 to 20 of about 130,007 (196)
Results in Physics, 2020 A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
doaj +1 more source
The Zagier polynomials. Part II: Arithmetic properties of coefficients [PDF]
, 2013 The modified Bernoulli numbers \begin{equation*} B_{n}^{*} = \sum_{r=0}^{n} \binom{n+r}{2r} \frac{B_{r}}{n+r}, \quad n > 0 \end{equation*} introduced by D. Zagier in 1998 were recently extended to the polynomial case by replacing $B_{r}$ by the Bernoulli
Coffey, Mark W. +5 more
core +2 more sources
On Boundary Conditions for Damage Openings in RoPax-Ship Survivability Computations
Journal of Marine Science and Engineering, 2023 The survivability of a damaged RoPax ship in the case of a flooding accident can be critical, as these ships have a tendency for a rapid capsize. Various simulation tools are presently in use to study the behavior of damaged RoPax and cruise ships ...
Petri Valanto
doaj +1 more source
The development of the deterministic nonlinear PDEs in particle physics to stochastic case
Results in Physics, 2018 In the present work, accuracy method called, Riccati-Bernoulli Sub-ODE technique is used for solving the deterministic and stochastic case of the Phi-4 equation and the nonlinear Foam Drainage equation.
Mahmoud A.E. Abdelrahman, M.A. Sohaly
doaj +1 more source
Stein factors for negative binomial approximation in Wasserstein distance [PDF]
, 2015 The paper gives the bounds on the solutions to a Stein equation for the negative binomial distribution that are needed for approximation in terms of the Wasserstein metric.
Barbour, A. D., Gan, H. L., Xia, A.
core +1 more source
Bernoulli polynomial based wavelets method for solving chaotic behaviour of financial model
Results in Physics, 2023 This paper presents an algorithm for solving systems of non integer financial chaotic model. The Bernoulli wavelets function approximation applies to fractional order financial systems for the first time.
Badr Saad T. Alkahtani +3 more
doaj +1 more source
Whole analogy between Daniel Bernoulli solution and direct kinematics solution [PDF]
Theoretical and Applied Mechanics, 2010 In this paper, the relationship between the original Euler-Bernoulli's rod equation and contemporary knowledge is established. The solution which Daniel Bernoulli defined for the simplest conditions is essentially the solution of 'direct kinematics'. For
Filipović Mirjana, Đurić Ana
doaj +1 more source
Precise tail asymptotics of fixed points of the smoothing transform with general weights [PDF]
, 2014 We consider solutions of the stochastic equation $R=_d\sum_{i=1}^NA_iR_i+B$, where $N>1$ is a fixed constant, $A_i$ are independent, identically distributed random variables and $R_i$ are independent copies of $R$, which are independent both from $A_i$'s
Buraczewski, D. +2 more
core +2 more sources
ITM Web of Conferences, 2018 In this paper, we presented a new expansion method constructed by taking inspiration for the Kudryashov method. Bernoulli equation is chosen in the form of F′=BFn-AF and some expansions are made on the auxiliary Bernoulli equation which is used in this ...
DURAN Serbay, KAYA Doǧan
doaj +1 more source
Stabilization analysis of Euler-Bernoulli beam equation with locally distributed disturbance
Journal of Hebei University of Science and Technology, 2017 In order to enrich the system stability theory of the control theories, taking Euler-Bernoulli beam equation as the research subject, the stability of Euler-Bernoulli beam equation with locally distributed disturbance is studied.
Pengcheng HAN, Danhong LIU
doaj +1 more source