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[PDF] Top 20 Numerical solution of gas solution in a fluid‎: ‎fractional derivative model

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Numerical solution of gas solution in a fluid‎: ‎fractional derivative model

Numerical solution of gas solution in a fluid‎: ‎fractional derivative model

... of fractional order integration and differentiation, is known to provide an excellent setting for capturing in a model framework concerned with real–world problems in a variety of disciplines from physics, ... See full document

13

Large Numerical Solution of Diffusive HBV Model in a Fractional Medium

Large Numerical Solution of Diffusive HBV Model in a Fractional Medium

... several numerical and analytical methods of solution have been adopted to solve both linear and nonlinear equations [38, ...of fractional Hepatitis B Virus (HBV) reaction-diffusion system in sub- ... See full document

14

Numerical solution methods for fractional partial differential equations

Numerical solution methods for fractional partial differential equations

... finance, fluid mechanics, viscoelasticity, engineering and ...the fractional derivative, which makes their solution ...the fractional partial differential equations either do not exist ... See full document

464

Numerical solution of fractional order logistic equations by fractional Eulers method

Numerical solution of fractional order logistic equations by fractional Eulers method

... The fractional logistic model can be acquired by using the fractional derivative operator on the logistic ...The model is firstly circulated by Pierre Verhulst in 1938 ...continuous ... See full document

8

The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations

The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations

... of fractional derivative and fractional integration in several complex systems such as physics, chemistry, fluid mechanics, viscoelasticity, signal processing, mathematical biology, and ... See full document

17

Numerical Solution for Initial and Boundary Value Problems of Fractional Order

Numerical Solution for Initial and Boundary Value Problems of Fractional Order

... medicine, fluid mechanics and different fields of chemistry and ...using fractional differential equ- ations (FDEs) to model their processes and ...solving fractional differential equations is ... See full document

14

Study on Numerical Simulation of Gas Injection and Immiscible Phase in Fractured-Vuggy Reservoir

Study on Numerical Simulation of Gas Injection and Immiscible Phase in Fractured-Vuggy Reservoir

... network model. The fracture is the main flow channel. And gas flows faster in fracture than in other ...the fluid flow is accurately described in the fracture medium of the ...A numerical ... See full document

8

Numerical Solution for Solving a System of Fractional Integro-differential Equations

Numerical Solution for Solving a System of Fractional Integro-differential Equations

... of fractional order arise in many physical and engineer- ing problems such as fluid mechanics, viscoelasticity, dif- fusion processes, biology and so on ...the solution of frac- tional ordinary ... See full document

7

Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method

Analysing the fractional heat diffusion equation solution in comparison with the new fractional derivative by decomposition method

... and numerical methods such that the novel series method for heat equation with non-integer order by Yan et ...method solution for a non-integer diffusion-wave model [8] and the Adomian decomposition ... See full document

10

Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

... mathematical model created for a micro-electro-mechanical system (MEMS) instrument which basically has been devel- oped to measure the viscosity of fluids that we encounter during oil well exploration ...that ... See full document

10

Numerical solution of fractional order mathematical model of drug resistant tuberculosis with two line treatment

Numerical solution of fractional order mathematical model of drug resistant tuberculosis with two line treatment

... studied fractional order mathematical model that describes drug resistant tubercu- losis with two line treatment by using Caputo fractional ...present model has been solved successfully by ... See full document

15

Numerical solution of fractional partial differential equations by numerical Laplace inversion technique

Numerical solution of fractional partial differential equations by numerical Laplace inversion technique

... a numerical method for solving fractional partial differential ...Stehfest’s numerical algorithm for calculating inverse Laplace transform to retrieve the time domain ...of fractional partial ... See full document

18

Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty

Schauder fixed-point theorem in semilinear spaces and its application to fractional differential equations with uncertainty

... Theorem . ensures that operator T has at least one fixed point. In consequence, Eq. () has at least one continuous solution u defined on [,δ], where δ >  and δ ≤ . Corollary . Under the conditions of ... See full document

14

Differential transform method for conformable fractional partial differential equations

Differential transform method for conformable fractional partial differential equations

... Consider a function of two variables u(x, t), and suppose that it can be rep- resented as a product of two single variable functions, that is, u(x, t) = f (x).g(t); see [12]. On the basis of the properties of ... See full document

13

Numerical Solution For The Deceleration of A Rotating Disk in A Viscous Fluid

Numerical Solution For The Deceleration of A Rotating Disk in A Viscous Fluid

... The numerical results have been obtained for different values of parameter s for range  100  s  0 on three different grid sizes namely h = ...the numerical results for the velocity profiles under the ... See full document

8

Well test analysis on pressure of viscoelastic polymer solution with variable rheological parameters*

Well test analysis on pressure of viscoelastic polymer solution with variable rheological parameters*

... pressure derivative values are smaller in the same period of flowing time, the pressure derivative curve upwarps less obviously at the radial flow regime and the radial flow period become ...polymer ... See full document

6

Proficiency of Second Derivative Schemes for the Numerical Solution of Stiff Systems

Proficiency of Second Derivative Schemes for the Numerical Solution of Stiff Systems

... second derivative linear multistep method with varying step-lengths which are A-stable with large region of absolute stability (see Figures ...some numerical examples and their results compared with each ... See full document

12

NUMERICAL SOLUTION OF TIME-FRACTIONAL ORDER FOKKER-PLANCK EQUATION

NUMERICAL SOLUTION OF TIME-FRACTIONAL ORDER FOKKER-PLANCK EQUATION

... approximate solution and exact ...exact solution and approximate solution obtained by new iter- ative method (NIM) is ...exact solution and approximate solution for α = 1 which is ... See full document

9

Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets

Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets

... Many mathematical modelings of various physical phenomena contain FIDEs [6, 11, 36]. Generally speaking, the analytical solutions of most FIDEs are not easy to obtain. Therefore, seeking numerical solutions of ... See full document

14

Numerical solution and distinguishability in time fractional parabolic equation

Numerical solution and distinguishability in time fractional parabolic equation

... The aim of this study was to investigate the distinguishability properties of the input- output mappings [·] : K → C[, T] and [·] : K → C  [, T ], which are determined by the measured output data at x =  and x = , ... See full document

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