Using Modified Fractional Euler Formula for Solving the Fractional Smoking Modeldoi:10.29020/nybg.ejpam.v17i4.5366EULER methodSMOKING cessationAT-risk behaviorSMOKING statisticsCAUSES of deathWorldwide, smoking
There are also the Galerkin method [19], the variational iteration method [20], the multiscale method and so on [21,22]. For the governing equation of fractional-order viscoelastic Euler–Bernouli beams, most of former documents mainly focus on the discussion of solvability and give no ...
The present paper deals with the modified Dirichlet's type of twisted q-Euler polynomials with weight alpha. We apply the method of generating function and p-adic q-integral representation on Zp, which are exploited to derive further classes of q-Euler numbers and polynomials. To be more ...
In analogy with Euler’s formula e±ix=cosx±isinx, we define Hankel functions of the first and second kind: (13.52)Hn(1)(x)=Jn(x)+iYn(x)andHn(2)(x)=Jn(x)-iYn(x). The asymptotic forms of the Hankel functions are given by (13.53)Hn(1,2)(x)≈2πxe±ix-(2n+1)π/4for...
Keywords: Predator–prey system; Delay; Modified Chebyshev polynomial; Collocation method; Residual correction 1 Introduction The predator–prey model is the essential model in studying the population dynamics of many species, which was initially proposed by Lotka and Volterra (see [1, 2]). It has...
The rest of this paper is arranged as follows. "Materials and methods" section presents the materials and method. “Experiments and results” section explains the experiments and results. "Conclusion" section concludes the paper with the findings of the research work. ...
Twitter Google Share on Facebook mews (redirected fromModified Early Warning Score) Thesaurus Medical Acronyms Encyclopedia mews soft, high-pitched sounds of cats or kittens; characteristic sounds gulls make Not to be confused with: muse– think, ruminate on, dream, ponder, contemplate:I mused on...
The fundamental frequency is determined by applying Hamilton’s principle and Rayleigh’s method. A formula for calculating the buckling force is subsequently introduced. Numerical simulations were conducted to analyze the impact of the material properties, tapered tip length, core thickness, slenderness ...
Theoretical values of each chemical component are calculated from differential equations A1-A18 using the backward Euler method. According to the required initial concentration of each component of wood in the system (given that different wood types have different ratios of each wood component) number...
method,26 the Tau method,27 rationalized Haar functions,28 Lagrange polynomials,29 Legendre polynomials,30 Legendre wavelet approximation,31 Chebyshev polynomials,20 Laguerre polynomials,32 block pulse functions,33,34 Bell polynomials,35 Chebyshev wavelets polynomials,36 Euler matrix method,37 collocation ...