Results 11 to 20 of about 465 (189)

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

open access: yesAin 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

open access: yesCumhuriyet 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

open access: yesAlexandria 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
doaj   +2 more sources

Numerical solution of the conformable fractional diffusion equation [PDF]

open access: yes, 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
core   +1 more source

An accurate and efficient local one-dimensional method for the 3D acoustic wave equation

open access: yesDemonstratio Mathematica, 2022
We establish an accurate and efficient scheme with four-order accuracy for solving three-dimensional (3D) acoustic wave equation. First, the local one-dimensional method is used to transfer the 3D wave equation into three one-dimensional wave equations ...
Wu Mengling, Jiang Yunzhi, Ge Yongbin
doaj   +1 more source

Analysis and new simulations of fractional Noyes-Field model using Mittag-Leffler kernel

open access: yesScientific African, 2022
In this manuscript, the fractional-in-time NoyesField model for Belousov-Zhabotinsky reaction transport is considered with a novel numerical technique, which was used to approximate the Atangana-Baleanu (ABC) operator which models the subdiffusion ...
Berat Karaagac   +2 more
doaj   +1 more source

Approximations to linear Klein–Gordon Equations using Haar wavelet

open access: yesAin Shams Engineering Journal, 2021
In this research article, two Haar wavelet collocation methods (HWCMs) (namely one dimensional HWCM and two dimensional HWCM) are adapted to approximate linear homogeneous and linear non-homogeneous Klein–Gordon equations.
Sana Ikram   +2 more
doaj   +1 more source

On the solution of (n+1)-dimensional fractional M-Burgers equation

open access: yesAlexandria Engineering Journal, 2021
In the paper, (n+1)-dimensional fractional M-Burgers equation with a force term in the sense of the Caputo fractional derivative is considered. We solve this equation using homotopy perturbation method (HPM) and find its approximate analytical solution ...
Adem Kilicman   +2 more
doaj   +1 more source

Numerical methods for the multiplicative partial differential equations

open access: yesOpen Mathematics, 2017
We propose the multiplicative explicit Euler, multiplicative implicit Euler, and multiplicative Crank-Nicolson algorithms for the numerical solutions of the multiplicative partial differential equation.
Yazıcı Muhammet, Selvitopi Harun
doaj   +1 more source

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