[PDF] Top 20 Numerical solution of the advective-diffusion equation
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Numerical solution of the advective-diffusion equation
... accurate solution of the advection equation. The solution of the advection equation is considerably more difficult than the solution of the advective-diffusion ... See full document
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Some numerical methods of diffusion equation for dic technique
... time execution, number of iteration, computational cost, maximum error and root mean square error (RMSE). In order to validate the numerical results, the obtained data were compared with the analytical ... See full document
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Numerical method for solving a nonlinear inverse diffusion equation
... inverse diffusion equation since the solution of the inverse nonlinear diffusion equation requires us to determining an unknown diffusion ...the equation that represent in ... See full document
21
Transparent boundary conditions based on the pole condition for time-dependent, two-dimensional problems.
... the solution are iden- tified by the position of poles of the solution’s spatial Laplace transform in the complex ...drift-diffusion equation but, in contrast to the one-dimensional case, exhibits ... See full document
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Numerical simulation of Feller’s diffusion equation
... the numerical algorithm we have at our disposal a family of steady state solutions ...a solution as an initial condition, normally the algorithm has to keep it intact under the discretized ...the ... See full document
15
The Differential Quadrature Solution of Reaction Diffusion Equation Using Explicit and Implicit Numerical Schemes
... the numerical computation, the time domain is limited to 0 ≤ ≤ t 20 and N = ...The numerical results of these two cases are listed respectively in Tables 1 and ... See full document
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Solution of the diffusion equation using Adomain decomposition
... atmospheric diffusion equation (ADE) using Adomain decomposition ...The solution depends on eddy diffusivity profile (K) and wind speed at the released point ... See full document
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One-dimensional numerical solution of the diffusion equation to describe wood drying: comparison with two- and three-dimensional solutions
... analytical solution of the diffusion equation to describe drying of lumber with the following dimensions: T = 40 mm, H = 100 mm and L = 200 ... See full document
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On the numerical solution of Fisher’s equation with coefficient of diffusion term much smaller than coefficient of reaction term
... a new model and solution method for wave propagation in compressible two-phase flow problem were proposed by Zeidan et al. [4]. The model consists of six equations and is applicable for pure fluid and fluid mixtures. ... See full document
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A comparison of some numerical methods for the advection diffusion equation
... Finite difference methods and cubic spline schemes for the one dimensional advection- diffusion equation have been presented. For the test examples studied, it has been found that the FTCS and the ... See full document
14
Analytical solution and numerical simulation of advection-diffusion equation related to fumigation problem
... advection-diffusion equation is introduced as a governing equation in transport phenomena and its principle o f mass conservation and Fick’s Law will be discussed in ...the numerical ... See full document
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Complete Numerical Solution of the Diffusion Equation of Random Genetic Drift
... the diffusion equation, apart from the fact that they conserve probability and constitute a complete ...the diffusion approximation—the Wright–Fisher ...complete solution of the ... See full document
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The Solution of Advection Diffusion Equation by The Finite Elements Method
... approximate solution of ADE is formed by GM for t ...approximate solution is made for t 0.01 or t 0.001 , the approximate solution is very close to the analytic ...approximate ... See full document
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Solution of a Diffusion Problem in a Non-Homogeneous Flow and Diffusion Field by the Integral Representation Method (IRM)
... fundamental solution of a differential-type boundary value ...integral equation is obtained. In the 1D-problems, the diffusion of a material initially concentrated at the center of the space with and ... See full document
12
SOLUTION OF REACTION–DIFFUSION EQUATION BY ADOMIAN DECOMPOSITION METHOD
... Nonlinear equations arise in all fields of applied mathematics, Engineering and Physics, hence being of fundamental importance the existence of methods to find their real roots. As analytical solutions are only available ... See full document
5
Numerical Solution of the Diffusion Equation with Restrictive Pade Approximation
... In this article, a numerical algorithm was applied in the one dimensional diffusion equ- ation. Computed results were compared with other paper results in Table 1, Table 2 and Table 3. Especially, we ... See full document
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Numerical solution of advection–diffusion type equation by modified error correction scheme
... obtained numerical solutions, we calculate the mentioned energy E(t) and mass M(t) at discrete time levels and display the results in ...the numerical results clearly support that the proposed method has a ... See full document
14
Adomian Decomposition Approach to the Solution of the Burger’s Equation
... a numerical method for the solution of the nonlinear reaction-diffusion Burger’s equation using Adomian decomposition is ...Burger’s equation are deter- ...Burger’s equation ... See full document
7
NUMERICAL SOLUTION OF BLACK – SCHOLES PARTIAL DIFFERENTIAL EQUATION USING DIRECT SOLUTION OF SECOND - ORDER ORDINARY DIFFERENTIAL EQUATION WITH TWO - STEP HYBRID BLOCK METHOD OF ORDER SEVEN
... The method of solving higher-order ODEs by reducing them to a system of first-order equation involves more functions evaluation which to evaluate leads to computational burden as mentioned in (Master, 2011) and ... See full document
7
NUMERICAL SOLUTION OF THE INTERRELATED DIFFERENTIAL EQUATION OF MOTION IN PHONON ENGINEERING
... equation (13) as an eigenvalue problem (EVP). Solving the EVP, the resulted eigenvectors represent the displacement vectorsand the eigenvalues represent square of corresponding angular frequencies. Varying q from ... See full document
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