Results 11 to 20 of about 100,496 (301)
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 +3 more sources
A cluster identification framework illustrated by a filtering model for earthquake occurrences [PDF]
, 2008 A general dynamical cluster identification framework including both modeling and computation is developed. The earthquake declustering problem is studied to demonstrate how this framework applies. A stochastic model is proposed for earthquake occurrences
Wu, Zhengxiao
core +4 more sources
ON ONE MODEL INTEGRAL-DIFFERENTIAL BERNULL EQUATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2017 The model integro-differential Bernlulli equation is considered in the paper. This equation was reduced to a differential equation with derivatives of fractional orders and solved numerically with the help of Newton’s iteration method.
Myshkin S.V.
doaj +1 more source
Modified Bernoulli wavelets functional matrix approach for the HIV infection of CD4+ T cells model
Results in Control and Optimization, 2023 In this study, we generated a novel functional matrix using Bernoulli wavelets. Also, we developed a novel technique called the Bernoulli wavelets collocation method to obtain reasonably accurate solutions for the HIV-infection model of CD4+ T cells ...
Kumbinarasaiah S., Manohara G.
doaj +1 more source
Approximation of backward stochastic differential equations using Malliavin weights and least-squares regression [PDF]
, 2016 We design a numerical scheme for solving a Dynamic Programming equation with Malliavin weights arising from the time-discretization of backward stochastic differential equations with the integration by parts-representation of the $Z$-component by (Ann ...
Gobet, Emmanuel, Turkedjiev, Plamen
core +1 more source
Correcting Newton--C\^{o}tes integrals by L\'{e}vy areas [PDF]
, 2006 In this note we introduce the notion of Newton--C\^{o}tes functionals corrected by L\'{e}vy areas, which enables us to consider integrals of the type $\int f(y) \mathrm{d}x,$ where $f$ is a ${\mathscr{C}}^{2m}$ function and $x,y$ are real H\"{o}lderian ...
Nourdin, Ivan, Simon, Thomas
core +9 more sources
Revisiting the Simplified Bernoulli Equation [PDF]
The Open Biomedical Engineering Journal, 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, Jeffrey J +4 more
openaire +2 more sources
Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
Applied Mathematics in Science and Engineering, 2023 The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj +1 more source
Journal of Applied Mathematics, 2013 A new and efficient numerical approach is developed for solving nonlinear Lane-Emden type equations via Bernoulli operational matrix of differentiation.
E. Tohidi +3 more
doaj +1 more source
Abstract and Applied Analysis, 2014 This paper presents a computational approach for solving a class of nonlinear Volterra integro-differential equations of fractional order which is based on the Bernoulli polynomials approximation.
Emran Tohidi, M. M. Ezadkhah, S. Shateyi
doaj +1 more source