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[HTML][HTML] Analytical wave solutions of the (2+ 1)-dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by using modified mathematical …
AR Seadawy, A Ali, WA Albarakati - Results in Physics, 2019 - Elsevier
In our research, we ascertain abundant novel exact traveling wave solutions of (2+ 1)-
dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by two new …
dimensional first integro-differential Kadomtsev-Petviashivili hierarchy equation by two new …
[HTML][HTML] Analysis of the time fractional-order coupled burgers equations with non-singular kernel operators
NH Aljahdaly, RP Agarwal, R Shah, T Botmart - Mathematics, 2021 - mdpi.com
In this article, we have investigated the fractional-order Burgers equation via Natural
decomposition method with nonsingular kernel derivatives. The two types of fractional …
decomposition method with nonsingular kernel derivatives. The two types of fractional …
[HTML][HTML] Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method
R Abazari, A Borhanifar - Computers & Mathematics with Applications, 2010 - Elsevier
In this paper, the Differential Transformation Method (DTM) is employed to obtain the
numerical/analytical solutions of the Burgers and coupled Burgers equations. We begin by …
numerical/analytical solutions of the Burgers and coupled Burgers equations. We begin by …
A Haar wavelet-finite difference hybrid method for the numerical solution of the modified Burgers' equation
In this paper, we investigate the numerical solutions of one dimensional modified Burgers'
equation with the help of Haar wavelet method. In the solution process, the time derivative is …
equation with the help of Haar wavelet method. In the solution process, the time derivative is …
Numerical solution of the one-dimensional Burgers' equation: Implicit and fully implicit exponential finite difference methods
B Inan, AR Bahadir - Pramana, 2013 - Springer
This paper describes two new techniques which give improved exponential finite difference
solutions of Burgers' equation. These techniques are called implicit exponential finite …
solutions of Burgers' equation. These techniques are called implicit exponential finite …
Propagation of wave solutions of nonlinear Heisenberg ferromagnetic spin chain and Vakhnenko dynamical equations arising in nonlinear water wave models
AR Seadawy, A Ali, S Althobaiti, S Sayed - Chaos, Solitons & Fractals, 2021 - Elsevier
Manuscript purpose is to find analytical solutions of the (2+ 1)-dimensional Heisenberg
Ferromagnetic Spin Chain and Vakhnenko dynamical equations by using the generalized …
Ferromagnetic Spin Chain and Vakhnenko dynamical equations by using the generalized …
Two meshless methods based on pseudo spectral delta-shaped basis functions and barycentric rational interpolation for numerical solution of modified Burgers …
Ö Oruç - International Journal of Computer Mathematics, 2021 - Taylor & Francis
In this paper, we solve modified Burgers equation numerically. Time discretization for
modified Burgers equation is made by using finite difference approach along with a …
modified Burgers equation is made by using finite difference approach along with a …
An efficient hybrid method based on cubic B-spline and fourth-order compact finite difference for solving nonlinear advection–diffusion–reaction equations
S Gulen - Journal of Engineering Mathematics, 2023 - Springer
This paper proposes an efficient hybrid numerical method to obtain approximate solutions of
nonlinear advection–diffusion–reaction (ADR) equations arising in real-world phenomena …
nonlinear advection–diffusion–reaction (ADR) equations arising in real-world phenomena …
Solutions of (2+ 1)-D & (3+ 1)-D Burgers Equations by New Laplace Variational Iteration Technique
G Singh, I Singh, AM AlDerea, AM Alanzi… - Axioms, 2023 - mdpi.com
The new Laplace variational iterative method is used in this research for solving the (2+ 1)-D
and (3+ 1)-D Burgers equations. This technique relies on the modified variational iteration …
and (3+ 1)-D Burgers equations. This technique relies on the modified variational iteration …
A numerical solution of the Burgers' equation using a Crank-Nicolson exponential finite difference method
B Inan, AR Bahadir - J. Math. Comput. Sci., 2014 - scik.org
This paper presents a new technique of forming improved exponential finite difference
solution of Burgers' equation. The technique is called Crank-Nicolson exponential finite …
solution of Burgers' equation. The technique is called Crank-Nicolson exponential finite …