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Analytical Solutions

Manufactured analytical solutions for isothermal full-Stokes ice sheet models

Manufactured analytical solutions for isothermal full-Stokes ice sheet models

... ufactured analytical solution to time-dependent and steady- state isothermal full-Stokes ice sheet ...formulas, analytical solutions for different geometries can be ...

27

Analytical Solutions of Viscoelastic Flow through Porous
Channels

Analytical Solutions of Viscoelastic Flow through Porous Channels

... of analytical and numerical solutions of a boundary value problem for governing system of partial differential equations arising in the study of the flow of viscoelastic fluids through non porous and porous ...

14

Exact Analytical Solutions of Three Nonlinear Heat Transfer Models

Exact Analytical Solutions of Three Nonlinear Heat Transfer Models

... series solutions have varying degree of accuracy and radius of convergence, and are strongly dependent on the number of terms in the series as well as on the parameters’ ...series solutions start diverging ...

6

Analytical solutions for the temperature field in a 2D incompressible inviscid flow through a channel with walls of solid fuel

Analytical solutions for the temperature field in a 2D incompressible inviscid flow through a channel with walls of solid fuel

... The velocity distribution. The oxidizer is introduced at given high pressure, temperature and entrance velocity, a preheating chamber being used to start the combustion. At ignition a high pressure and temperature are ...

10

Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution

Analytical solutions for fully developed laminar flow of some viscoelastic liquids with a newtonian solvent contribution

... obtain analytical solutions has been conducted in the past, for example the paper already referred to above by Van Schaftingen and Cro- chet [5] for the Johnson-Segalman fluid [7] and Yoo and Choi [8] and ...

8

Analytical Solutions of the Navier-Stokes Model by He's Polynomials

Analytical Solutions of the Navier-Stokes Model by He's Polynomials

... In this work, it is therefore, our intention to provide analytical solutions to the Navier–Stokes model of the forms in (1.1)-(1.3) using the He’s polynomials method. It is worth mentioning that the He’s ...

4

Analytical solutions for the fractional Fisher's equation

Analytical solutions for the fractional Fisher's equation

... various analytical method for solving nonlinear FPDEs including the Adomian decomposition [2, 4, 9], Homotopy perturbation method [5, 6, 13], Variation iteration method [14, 15], and Homotopy analysis method [10, ...

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On analytical solutions for the nonlinear diffusion equation

On analytical solutions for the nonlinear diffusion equation

... exact solutions turn out to be approximate solutions in the form of a series which is the exact solution in the closed ...exact solutions by using software “mathematica” to show the stability of the ...

9

He's Polynomials for Analytical Solutions of the Black-Scholes Pricing Model for Stock Option Valuation

He's Polynomials for Analytical Solutions of the Black-Scholes Pricing Model for Stock Option Valuation

... Abstract — The Black-Scholes model is one of the most famous and useful models for option valuation as regards option pricing theory. In this paper, we propose a semi- analytical method referred to as He’s ...

3

Simplified CFD model of coolant channels typical of a plate-type fuel element: an exhaustive verification of the simulations

Simplified CFD model of coolant channels typical of a plate-type fuel element: an exhaustive verification of the simulations

... When CFD analyses are conducted, the verification of numerical solution is extremely important. According to Oberkampf and Roy [13], the “solution verification addresses the question of whether a given simulation of a ...

16

Mat. Res.  vol.12 número2

Mat. Res. vol.12 número2

... transformation/recrystallization in 2-d and 3-d were carried out and compared with KJMA analytical solutions. The purpose of the present paper is to simulate phase transformations/recrystallization in by ...

6

Lat. Am. j. solids struct.  vol.11 número14

Lat. Am. j. solids struct. vol.11 número14

... exist analytical solutions of linear buckling of beam–columns using the Euler- Bernoulli and Timoshenko beam theories for both isotropic and laminated composite beams for classical boundary conditions ...

21

Braz. J. Pharm. Sci.  vol.47 número1

Braz. J. Pharm. Sci. vol.47 número1

... six analytical solutions prepared, the method demonstrated repeatability with a relative standard deviation (RSD%) of up to ...six analytical solutions prepared by two different analysts on ...

7

J. Braz. Chem. Soc.  vol.27 número7

J. Braz. Chem. Soc. vol.27 número7

... the analytical solutions prepared in organic solvent and in blank matrix extract were ...These solutions were injected in ascending concentration order to avoid carry over in the chromatographic ...

12

Open-source modular solutions for flexural isostasy: gFlex v1.0

Open-source modular solutions for flexural isostasy: gFlex v1.0

... superimpose analytical solutions of point loads (in the spa- tial domain) or sinusoidal loads (in the wavenumber domain) in order to produce the flexural response to an arbitrary load (Comer, 1983; Royden ...

21

Analytical Solution for Optimal Low-Thrust Limited-Power Transfers Between Non-Coplanar Coaxial Orbits

Analytical Solution for Optimal Low-Thrust Limited-Power Transfers Between Non-Coplanar Coaxial Orbits

... order analytical solutions, derived in the preceding sections, and a numerical solution obtained by integrating the canonical system of differential equations governed by new Hamiltonian function H*, given ...

28

Liao’s method for a few space and time fractional reaction-diffusion equations arising in Engineering

Liao’s method for a few space and time fractional reaction-diffusion equations arising in Engineering

... Recently, various iterative methods are applied for getting numerical and analytical solutions of linear and nonlinear fractional reaction-diffusion equations [3,4,7,8,9,10-13]. The homotopy analysis method ...

15

Rev. Bras. Ensino Fís.  vol.25 número1

Rev. Bras. Ensino Fís. vol.25 número1

... For the pure harmonic oscillator the parameters intro- duced were fixed from the low lying levels of heavy quarks systems and imposing the flavor independence condition. The calculation of the meson and baryon spectra, ...

10

Lat. Am. j. solids struct.  vol.11 número3

Lat. Am. j. solids struct. vol.11 número3

... approximate analytical solutions are in very good agreement with the corresponding solu- tions and presented methods are powerful mathematical tools, very effective, convenient and ade- quately accurate for ...

11

Braz. J. Phys.  vol.35 número4B

Braz. J. Phys. vol.35 número4B

... limit, analytical solutions for a dark energy model described by the Born-Infeld field plus a perfect fluid, both for homogeneous background and first order ...These analytical results are compared ...

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