Mathematical solution for the consolidation equation
Exact Solution of Terzaghi’s Consolidation Equation and Extension to Two/Three Dimensional Cases
... differential equation by Terzaghi and Fröhlich, better known as Terzaghi’s one-dimensional consolidation equation, simulates the visco-elastic behaviour of soils depending on the loads applied as it ...
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Stochastic Processes and Advanced Mathematical Finance. Solution of the Black-Scholes Equation
... Black-Scholes Equation First we take t = T − (1/2)σ τ 2 and S = Ke x , and we set V (S, t) = Kv(x, τ ...equidimensional equation in differential equa- ...transformed equation expressed in ...
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Journal of Nonlinear Mathematical Physics. Multipotentialisations and Iterating-Solution Formulae: The Krichever Novikov Equation
... Equation (1.1), with P (u) = 4u 3 + a 1 u + a 2 , a j ∈ , was first introduced in [8] by Krichever and Novikov in connection with a study of finite-gap solutions of the Kadomtsev– Petviashvili equation (or KP ...
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Mathematical relationship between grid and low Peclet numbers for the solution of convection diffusion equation
... linear mathematical connection between the two non-dimensional parameters serves as a guideline for a more structured decision-making and improves the heuristic process in the determination of the computational ...
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A Solution of Kepler’s Equation
... the solution of the Kepler’s equation for all conics (ellipse, hyperbola or ...parabola). Solution of the universal Kepler’s equation in closed form is obtained with the help of the ...
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The Mathematical Modeling of the Atmospheric Diffusion Equation
... diffusion equation (ADE) is solved in two directions to obtain the crosswind integrated ...The solution is solved using separation variables technique and considering the wind speed depends on the vertical ...
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A Spectral Integral Equation Solution of the Gross Pitaevskii Equation
... Gross-Pitaevskii equation (GPE), that describes the wave function of a number of coherent Bose particles contained in a trap, contains the cube of the normalized wave function, times a factor proportional to the ...
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2-Solution of the Diffusivity Equation
... Diffusivity Equation Constant-terminal-pressure solution is designed to provide the cumulative flow at any particular time for a reservoir in which the pressure at one boundary of the reservoir is held ...
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SOLUTION OF A AN EQUATION IN ONE VARIABLE
... the equation by the same value. 1.1. Solution method In the case of single variable linear equations, the order in which we chose to carry out the operations will be relatively the same for each ...
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The Hypercomplex Solution of the Dirac Equation
... the sign of the cage charge. Some amount of energy W will be used for this. Then we carry the charge into a point with potential ϕ 2 , which is distant from the cage. The work which is done is A = q(ϕ 1 − ϕ 2 ). Now let ...
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On the Solution of the Rational Matrix Equation
... matrix equation that arises in the analysis of stationary Gaussian re- ciprocal ...this equation. Moreover, we have derived a defect correc- tion equation that can be used to improve the accuracy of ...
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Solution of Fractional Legendre Equation
... P n m ≠ . such polynomial turned out to be particular interest in many problems in mathematical physics like heat distribution is spherical regions and in the structure of atoms. Throughout this paper, we let ...
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Curve Fitting and Solution of Equation
... UNIT V Curve Fitting and Solution of Equation 5.1 CURVE FITTING In many branches of applied mathematics and engineering sciences we come across experiments and problems, which involve two variables. For ...
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MathType. Mathematical Equation Editor USER MANUAL
... intelligent mathematical equation editor designed for personal computers running Microsoft Windows or the Apple ...the Equation Editor that comes with Microsoft Word, Corel WordPerfect and many other ...
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STUDY OF NAVIER – STOKES EQUATION SOLUTION I. THE GENERAL SOLUTION OF NONLINEAR ORDINARY DIFFERENTIAL EQUATION
... real solution to complex turbulent solution is realized through infi nity of the right parts of ordinary differential equation system to which Navier – Stokes equations are ...real solution of ...
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Efficient Migration –A Leading Solution for Server Consolidation
... server consolidation problem, which has to decide how to rebalance the job loads within the existing servers without instantiating new ones, is an instance of the decision version of the classical NP-complete bin ...
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Solution of Laplace’s Differential Equation and Fractional Differential Equation of That Type
... c 4.5. Remarks In [10], it was shown that there exist P-solutions ex- pressed by a polynomial for inhomogeneous Hermite’s DE, et al. We can obtain the corresponding result for Laplace’s DE. We discuss this problem in ...
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Numerical solution of the advective-diffusion equation
... Numerical Laplace inversion techniques are required to solve the system of simultaneous equations that result from the application of the Laplace time finite analytic space method. Two well known methods were examined, ...
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Solution of a modified fractional diffusion equation
... diffusion equation, ...the solution of the modified equation on an infinite ...the solution of the traditional fractional diffusion equation, the solution of the modified ...
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On numerical solution of the Gardner Ostrovsky equation
... Nevertheless, the effectiveness of the published codes has not been thoroughly investigated and the results obtained were not compared either with each other or against approximate analytical solutions. Here we propose a ...
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