Results 11 to 20 of about 494,314 (293)

Extension of optimal auxiliary function method to nonlinear Sine Gordon differential equations

Partial Differential Equations in Applied Mathematics
In this paper, the new semi-analytical method called optimal auxiliary function method has been extended for finding the approximate solution of the non-linear Sine Gordon and Burger equations.
Aaqib Iqbal, Rashid Nawaz, Rashid Ashraf, Mehran, Nick Fewster-Young, Hina   +5 more
doaj   +3 more sources

Utilizing the Optimal Auxiliary Function Method for the Approximation of a Nonlinear Long Wave System considering Caputo Fractional Order

Complexity
In this article, we explore the utilization of the Caputo derivative and the Riemann–Liouville (R–L) fractional integral to analyze the optimal auxiliary function method for approximating fractional nonlinear long waves.
Aaqib Iqbal, Rashid Nawaz, Hina Hina, Abdulaziz Garba Ahmad, Homan Emadifar   +4 more
doaj   +3 more sources

Comparative study of fractional Newell–Whitehead–Segel equation using optimal auxiliary function method and a novel iterative approach

AIP Advances
This research explores the solution of the time-fractional Newell–Whitehead–Segel equation using two separate methods: the optimal auxiliary function method and a new iterative method.
Xiao Xin, Ibrar khan, Abdul Hamid Ganie, Ali Akgül, Ebenezer Bonyah, Dowlath Fathima, Badria Almaz Ali Yousif   +6 more
doaj   +4 more sources

Comparative Evaluation of the Optimal Auxiliary Function Method and Numerical Method to Explore the Heat Transfer between Two Parallel Porous Plates of Steady Nanofluids with Brownian and Thermophoretic Influences [PDF]

Open Engineering, 2022
In this study, we used the newly established optimal approach, namely, optimal auxilary function method (OAFM) along with the Adams numerical solver technique in order to investigate the heat transfer between two permeable parallel plates of steady ...
H. Ullah, R. A. Khan, M. Fiza, S. Islam, S. Al-Mekhlafi   +4 more
semanticscholar   +4 more sources

Approximations of Time-Dependent Nonlinear Partial Differential Equations using Galerkin Optimal Auxiliary Function Method [PDF]

GANIT: Journal of Bangladesh Mathematical Society, 2023
The purpose of this research work is to employ the Optimal Auxiliary Function Method (OAFM) for obtaining numerical approximations of time-dependent nonlinear partial differential equations (PDEs) that arise in many disciplines of science and engineering.
Nilormy Gupta Trisha, Md. Shafiqul Islam
semanticscholar   +3 more sources

Practical Realization of Optimal Auxiliary Frequency Control Strategy of Wind Turbine Generator

Journal of Modern Power Systems and Clean Energy, 2022
Adding the auxiliary frequency control function to the wind turbine generator (WTG) is a solution to the frequency security problem of the power system caused by the replacement of the synchronous generator (SG) by the WTG.
Ming Sun, Yong Min, Xuejun Xiong, Lei Chen, Le Zhao, Yuyao Feng, Bingran Wang   +6 more
doaj   +2 more sources

Approximate Closed-Form Solutions for the Rabinovich System via the Optimal Auxiliary Functions Method

Symmetry, 2022
Based on some geometrical properties (symmetries and global analytic first integrals) of the Rabinovich system the closed-form solutions of the equations have been established. The chaotic behaviors are excepted.
R. Ene, N. Pop, Marioara Lapadat
semanticscholar   +2 more sources

The Optimal Homotopy Asymptotic Method for Solving Two Strongly Fractional-Order Nonlinear Benchmark Oscillatory Problems

Mathematics, 2021
This paper proceeds from the perspective that most strongly nonlinear oscillators of fractional-order do not enjoy exact analytical solutions. Undoubtedly, this is a good enough reason to employ one of the major recent approximate methods, namely an ...
Mohd Taib Shatnawi, Adel Ouannas, Ghenaiet Bahia, Iqbal M. Batiha, Giuseppe Grassi   +4 more
doaj   +2 more sources

Theory and Computations for the System of Integral Equations via the use of Optimal Auxiliary Function Method

International Journal of Emerging Multidisciplinaries: Mathematics, 2022
This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples.
Laiq Zada, Falak Naz, Rashid Nawaz
semanticscholar   +2 more sources

Approximate Solution of Generalized Modified b-Equation by Optimal Auxiliary Function Method

International Journal of Emerging Multidisciplinaries: Mathematics, 2022
In this study, the implantation of a new semi-analytical method called the optimal auxiliary function method (OAFM) has been extended to partial differential equations. The adopted method was tested upon for approximate solution of generalized modified b-equation.
Aatif Ali
semanticscholar   +3 more sources