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Revisiting the simplified bernoulli equation. [PDF]
Open Biomed Eng J, 2010 Background: The assessment of the severity of aortic valve stenosis is done by either invasive catheterization or non-invasive Doppler Echocardiography in conjunction with the simplified Bernoulli equation. The catheter measurement is generally considered more accurate, but the procedure is also more likely to ...
Heys JJ +4 more
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Using Bernoulli Equation to Solve Burger's Equation
مجلة بغداد للعلوم, 2014 In this paper we find the exact solution of Burger's equation after reducing it to Bernoulli equation. We compare this solution with that given by Kaya where he used Adomian decomposition method, the solution given by chakrone where he used the Variation
Baghdad Science Journal
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Inverse problem for the time-fractional Euler-Bernoulli beam equation
Mathematical Modelling and Analysis, 2021 In this paper, the classical Euler-Bernoulli beam equation is considered by utilizing fractional calculus. Such an equation is called the time-fractional EulerBernoulli beam equation.
Ibrahim Tekin, He Yang
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Fluids, 2023 Explicit expressions of the 3D velocity field in terms of the conserved quantities of ideal fluid thermocline theory, namely the Bernoulli function, density, and potential vorticity, are generalised in this paper to a compressible ocean with a realistic ...
Rémi Tailleux
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Mathematics, 2020 In this paper, we consider a nonlinear fractional differential equation. This equation takes the form of the Bernoulli differential equation, where we use the Caputo fractional derivative of non-integer order instead of the first-order derivative.
Vasily E. Tarasov
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Fractal and Fractional, 2023 In this paper, we present an efficient, new, and simple programmable method for finding approximate solutions to fractional differential equations based on Bernoulli wavelet approximations.
Heba M. Arafa +2 more
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New form of the Euler-Bernoulli rod equation applied to robotic systems [PDF]
Theoretical and Applied Mechanics, 2008 This paper presents a theoretical background and an example of extending the Euler-Bernoulli equation from several aspects. Euler-Bernoulli equation (based on the known laws of dynamics) should be supplemented with all the forces that are participating ...
Filipović Mirjana
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Analysis and estimation of the COVID-19 pandemic by modified homotopy perturbation method
Applied Mathematics in Science and Engineering, 2023 The Bernoulli equation is useful to assess the motility and recovery rate with respect to time in order to measure the COVID-19 outbreak. The homotopy perturbation method was applied in the current article to compute the Bernoulli equation.
Garima Agarwal +3 more
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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
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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
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