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Numerical solution of the diffusion equations

Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method

Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method

... the numerical solution of distributed order ...the numerical approximation of the distributed order time-fractional reaction-diffusion equation with a nonlinear source term (see also [25]), Ye ...

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Numerical Solution for Solving Space-Fractional Diffusion Equations using Half-sweep Gauss-seidel Iterative Method

Numerical Solution for Solving Space-Fractional Diffusion Equations using Half-sweep Gauss-seidel Iterative Method

... space-fractional diffusion equations is examined. Through numerical solution Tables 1 and 2, it clearly shows that implementations of Half-Sweep Gauss-Seidel iterative concept reduce number of ...

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Numerical solution of Convection-Diffusion equations with memory term based on sinc method

Numerical solution of Convection-Diffusion equations with memory term based on sinc method

... the numerical solution of Convection-Diffusion equation with a memory term subject to initial boundary value ...discussed. Numerical examples and illustrations are presented to prove the validity of ...

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Efficient Denoising and Sharpening of Color Images through Numerical Solution of Nonlinear Diffusion Equations

Efficient Denoising and Sharpening of Color Images through Numerical Solution of Nonlinear Diffusion Equations

... nonlinear diffusion are the most widely ...Nonlinear diffusion image processing models an image’s pixel values, ranging from 0 for no color to 255 for total color saturation, as a temperature profile ...

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Numerical solution of the advective-diffusion equation

Numerical solution of the advective-diffusion equation

... simultaneous equations that result from the application of the Laplace time finite analytic space ...transform equations in the Laplace time finite analytic space scheme for the solution of the ...

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Numerical Solution of the Diffusion Equation with Restrictive Pade Approximation

Numerical Solution of the Diffusion Equation with Restrictive Pade Approximation

... [15] Ismail, H.N.A. and Ekmekkawy, A.Y. (2001) Restrictive Pade Approximation for Solving Singularly Perturbed Initial-Boundary Value Problem for First-Order Hyperbolic Partial Differential Equation. 9 th International ...

7

Numerical solution of partial differential equations

Numerical solution of partial differential equations

... 2.3 Method of lines There are other explicit numerical methods that can be applied to the 1- D heat or diffusion equation such as the Method of Lines which is used by Matlab and Mathematica. The trick with ...

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Numerical solution for the time-Fractional Diffusion-wave Equations by using Sinc-Legendre Collocation Method

Numerical solution for the time-Fractional Diffusion-wave Equations by using Sinc-Legendre Collocation Method

... the numerical solution of fractional diffusion wave equation is ...algebraic equations after implementing this ...proposed numerical scheme some examples are ...

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Numerical Methods for the Solution of Partial Differential Equations

Numerical Methods for the Solution of Partial Differential Equations

... the numerical solution of the hydrodynamic ...resulting equations are no longer purely hyperbolic PDE’s but rather mixed hyperbolic-parabolic ...the numerical method used to solve them must ...

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On the numerical solution of nonlinear Black–Scholes equations

On the numerical solution of nonlinear Black–Scholes equations

... Black–Scholes equations for European and American options with a volatility depending on different factors, such as the stock price, the time, the option price and its derivatives due to transaction ...different ...

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Numerical methods for advection-diffusion-reaction equations and medical applications

Numerical methods for advection-diffusion-reaction equations and medical applications

... exact solution of the original advection- diffusion-reaction ...the numerical method has no ...the numerical method and the value of the relaxation parameter are intimately ...

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Second order numerical methods for the tempered fractional diffusion equations

Second order numerical methods for the tempered fractional diffusion equations

... The exact solution is u(x, t) = e λx+t (1 – x) 2+α . In order to compare the CN-TWSGD method with the proposed method in this paper, we choose different α, λ, β 3 , and γ 3 to solve Example 2, the errors, ...

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Stabilized Numerical Methods for Stochastic Differential Equations driven by Diffusion and Jump-Diffusion Processes

Stabilized Numerical Methods for Stochastic Differential Equations driven by Diffusion and Jump-Diffusion Processes

... a numerical approach to find an approximation to the ...differential equations using the forward Kolmogorov equation and then solves the resulting PDEs using, for instance, finite differences, or one uses ...

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An Algorithm for the Numerical Solution of System of Fractional Differential Equations

An Algorithm for the Numerical Solution of System of Fractional Differential Equations

... differential equations are generalizations of classical integer order differential equation These are increasingly used to model problems in the fluid flow, mechanics, viscoelasticity, biology, physics, ...

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Load Balancing for the Numerical Solution of the Navier-Stokes Equations

Load Balancing for the Numerical Solution of the Navier-Stokes Equations

... Extrapolated Diffusion (EDF) method for the efficient parallelization of a simple ‘atmospheric’ ...the numerical solution of the steady state Navier-Stokes (NS) equations in the horizontal ...

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Numerical Solution of Volterra Integral Equations of Second Kind

Numerical Solution of Volterra Integral Equations of Second Kind

... integral equations, numerically, algorithm, regular, ...integral equations. These equations also occur as reformulations of other mathematical problems such as partial differential equations ...

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Numerical Solution of Differential Equations

Numerical Solution of Differential Equations

... differential equations based on numerical approximations were developed before programmable computers ...Differential equations are an important part of many areas of mathematics, from fluid dynamics ...

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Numerical Solution of Differential Equations

Numerical Solution of Differential Equations

... • Solution obtained from z-y plot reinforces fourth order method results... The End[r] ...

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Numerical Solution of Differential Equations

Numerical Solution of Differential Equations

... Since we know the derivative (from the differential equation), we could draw a bunch of (small tangent lines) and get an idea of the curve.... Example: v 0 = 9.8 − 0.196v.[r] ...

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I. Numerical solution of exact pair equations. II. Numerical solution of first-order pair equations

I. Numerical solution of exact pair equations. II. Numerical solution of first-order pair equations

... Numerical solutions to the S-limit equations for the helium ground state and excited triplet state and the hydride ion ground state are ob- tained with the second and fo[r] ...

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