Results 51 to 60 of about 170 (111)

On the Solutions of Fractional Burgers-Fisher and Generalized Fisher’s Equations Using Two Reliable Methods

International Journal of Mathematics and Mathematical Sciences, 2014
Two reliable techniques, Haar wavelet method and optimal homotopy asymptotic method (OHAM), are presented. Haar wavelet method is an efficient numerical method for the numerical solution of arbitrary order partial differential equations like Burgers ...
A. K. Gupta, S. Saha Ray
doaj   +1 more source

Series and Rational Solutions of the Second Kind Painlevé Equations by Using the Quantum Pseudospectral Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Painlevé equations and their series and rational solutions are essential in applied, pure mathematics and theoretical physics. Recently, quantum algorithms have helped to implement numerical algorithms more easily by performing linear algebra in our working. This article uses a hybrid of quantum computing schemes and spectral methods for the second
Saeid Abbasbandy, Shikha Binwal
wiley   +1 more source

Magnetic micro‐fluidics in 3D microchannel at the micro‐scale: Unlocking nano‐porous electrode potential for lithium‐ion micro‐batteries

Energy Storage, Volume 6, Issue 4, June 2024.
Abstract Enhancing the nanosized‐electrolyte's characteristics in Lithium‐driven micro‐batteries (LIMBs) is indispensable to improve the overall efficiency, security, and lifespan of these energy devices, designing nano‐sized electrolyte with a wide electrochemical stability window while keeping them compatible with electrode materials is one of the ...
Adeel Ashraf, Tareq Manzoor, Shaukat Iqbal, Tauseef Anwar, Muhammad Farooq‐i‐Azam, Zeashan Khan, Habib Ullah Manzoor   +6 more
wiley   +1 more source

Approximate analytical solutions for multispecies convection-dispersion transport equation with variable parameters

Frontiers in Earth Science, 2023
Multispecies pollutant migration often occurs in polluted groundwater systems. Most of the multispecies problems that have been dealt in the literature assume constant transport parameters, primarily because analytical solutions for varying parameters ...
Manotosh Kumbhakar, Vijay P. Singh
doaj   +1 more source

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

Complexity, Volume 2024, Issue 1, 2024.
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. Approximate long wave equation with a distinct dispersion relation offers the most accurate description of shallow water wave ...
Aaqib Iqbal, Rashid Nawaz, Hina Hina, Abdulaziz Garba Ahmad, Homan Emadifar, Abdellatif Ben Makhlouf   +5 more
wiley   +1 more source

Approximate Closed-Form Solutions for the Maxwell-Bloch Equations via the Optimal Homotopy Asymptotic Method

Mathematics, 2022
This paper emphasizes some geometrical properties of the Maxwell–Bloch equations. Based on these properties, the closed-form solutions of their equations are established.
Remus-Daniel Ene, Nicolina Pop, Marioara Lapadat, Luisa Dungan   +3 more
doaj   +1 more source

Non-Newtonian fluid flow in an axisymmetric channel with porous wall

Propulsion and Power Research, 2013
In the present article Optimal Homotopy Asymptotic Method (OHAM) is used to obtain the solutions of momentum and heat transfer equations of non-Newtonian fluid flow in an axisymmetric channel with porous wall for turbine cooling applications.
M. Hosseini, Z. Sheikholeslami, D.D. Ganji   +2 more
doaj   +1 more source

A Numerical Comparison Between the Standard and Modified Versions of the Optimal Homotopy Asymptotic Method (OHAM) for Solving Volterra Integro-Delay Differential Equations

European Journal of Pure and Applied Mathematics
In this paper, we formulate and enhance a robust semi-analytical method, known as the Optimal Homotopy Asymptotic Method (OHAM), for solving Volterra delay integro-differential equations (VDIDEs). A comparative analysis between the standard OHAM and its modified version is presented, emphasizing the improvements introduced through the modification. The
Nidal Anakira, Sameer Bawaneh, null Areen Al-khateeb, Ala Amourah, Tala Sasa   +4 more
openaire   +1 more source

Application of Optimal Homotopy Asymptotic Method to Burger Equations

Journal of Applied Mathematics, 2013
We apply optimal homotopy asymptotic method (OHAM) for finding approximate solutions of the Burger's-Huxley and Burger's-Fisher equations. The results obtained by proposed method are compared to those of Adomian decomposition method (ADM) (Ismail et al.,
R. Nawaz, H. Ullah, S. Islam, M. Idrees
doaj   +1 more source

Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method

Advances in Mathematical Physics, 2014
The unsteady viscous flow over a continuously shrinking surface with mass suction is investigated using the optimal homotopy asymptotic method (OHAM). The nonlinear differential equation is obtained by means of the similarity transformation.
Vasile Marinca, Remus-Daniel Ene
doaj   +1 more source