Results 11 to 20 of about 155 (148)

Three level implicit tension spline scheme for solution of Convection-Reaction-Diffusion equation

Ain Shams Engineering Journal, 2018
In this work, the numerical approximation of Convection-Reaction-Diffusion equation is investigated using the method based on tension spline function and finite difference approximation.
H.S. Shekarabi, J. Rashidinia
doaj   +2 more sources

A Computational Method for the Time-Fractional Navier-Stokes Equation

Cumhuriyet Science Journal, 2018
In thisstudy, Navier-Stokes equations with fractional derivate are solved according totime variable. To solve these equations, hybrid generalized differentialtransformation and finite difference methods are used in various subdomains.The aim of this ...
Hüseyin Demir, İnci Çilingir Süngü
doaj   +2 more sources

A computational approach using modified trigonometric cubic B-spline for numerical solution of Burgers’ equation in one and two dimensions

Alexandria Engineering Journal, 2018
This article aims to obtain the numerical solution of nonlinear Burgers’ equation in one and two dimensions using hybrid trigonometric differential quadrature method.
Geeta Arora, Varun Joshi
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Unveiling new insights: taming complex local fractional Burger equations with the local fractional Elzaki transform decomposition method

Frontiers in Applied Mathematics and Statistics
This study aims to address the difficulties in solving coupled generalized non-linear Burger equations using local fractional calculus as a framework. The methodology used in this work, particularly in the area of local fractional calculus, combines the ...
Ghaliah Alhamzi, J. G. Prasad, B. S. T. Alkahtani, R. S. Dubey   +3 more
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Numerical solution of the conformable fractional diffusion equation [PDF]

, 2022
In this paper, a numerical approach for solving space-time fractional diffusion equation with variable coefficients is proposed. The fractional derivatives are described in the conformable sense.
Yaslan, H. Cerdik
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A stable finite difference method for a Cahn-Hilliard type equation with long-range interaction [PDF]

, 2013
We propose a stable numerical scheme for a Cahn-Hilliard type equation with long-range interaction describing the micro-phase separation of diblock copolymer melts.
中村, 健一, 2679, Nakamura, Ken-Ichi, 4310, 17385, 40293120, Matsuoka, Hikaru   +6 more
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Finite difference scheme for a high order nonlinear Schrödinger equation with localized damping [PDF]

, 2019
In this work we present a finite difference scheme used to solve a High order Nonlinear Schrödinger Equation. These equations can model the propagation of solitons travelling in fiber optics ([3], [11]).
SEPÚLVEDA C., Mauricio A., CAVALCANTI, Marcelo M., VÉJAR ASEM, Rodrigo, CORRÊA, Wellington J.   +3 more
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A Compact Alternating Direction Implicit Scheme for Two-Dimensional Fractional Oldroyd-B Fluids [PDF]

, 2015
The two-dimensional Rayleigh-Stokes problem for a generalized Oldroyd-B fluid is considered in the present work. The fractional time derivatives are discretized using L1 and L2 approximations.
Bazhlekova, Emilia, Vasileva, Daniela, Bazhlekov, Ivan, Ayryan, Edik   +3 more
core   +1 more source

Numerical analysis of the fractional evolution model for heat flow in materials with memory

Alexandria Engineering Journal, 2020
This paper develops the solution of the two-dimensional time fractional evolution model using finite difference scheme derived from radial basis function (RBF-FD) method.
O. Nikan, H. Jafari, A. Golbabai
doaj   +1 more source

Computational dynamics of predator-prey model with the power-law kernel

Results in Physics, 2021
Evolution system which contains fractional derivatives can give rise to useful mathematical model for describing some important real-life or physical scenarios.
Kolade M. Owolabi
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