Results 61 to 70 of about 839 (148)

Analyzing Soret and Dufour Effects on MHD Variable Viscosity Casson Nanofluid Flow Past a Stretching Sheet With Heat Source/Sink

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
This study explores the impact of Soret and Dufour effects on an magnetohydrodynamics (MHD) variable‐viscosity Casson nanofluid over a stretching sheet with heat generation and absorption. The Buongiorno model is employed to incorporate nanoparticle properties such as Brownian motion and thermophoresis.
Hundasa Chala Nagari, Mitiku Daba Firdi, Ebba Hindebu Rikitu, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Homotopy Analysis and Pade´ Methods for Solving Two Nonlinear Equations

Journal of Mathematical Extension, 2011
In this paper, we are giving analytic approximate solutions to nonlinear PDEs using the Homotopy Analysis Method (HAM) and Homotopy Pad´e Method(HPad´eM).
A. Golbabai, H. Kheiri, D. Ahmadian
doaj  

Numerical solution of time- and space-fractional coupled Burgers’ equations via homotopy algorithm

Alexandria Engineering Journal, 2016
In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis method with Laplace transform, namely q-homotopy analysis transform method to solve time- and space-fractional coupled Burgers’ equations.
Jagdev Singh, Devendra Kumar, Ram Swroop
doaj   +1 more source

Sisko Hybrid Nanofluid Model for Blood Flow Over an Exponentially Stretched Cylinder Incorporating Homogeneous–Heterogeneous Reactions: A Framework of the Modified Buongiorno Model

International Journal of Chemical Engineering, Volume 2025, Issue 1, 2025.
This study comprehensively investigates hemodynamic flow behavior in a blocked‐up, tapered arterial passage using the Sisko hybrid nanofluid model, incorporating both homogeneous and heterogeneous reactions. Extending the modified Buongiorno model, we explored the effects of nanoparticle interaction and non‐Newtonian fluid characteristics (n < 1 and n >
V. Karthik, P. Asaigeethan, A. Varsha Vincy, B. Thrisha, Selvakumar Periyasamy, Abdolreza Kharaghani   +5 more
wiley   +1 more source

Modified Semiseparation of Variables Methods for Solving the System of Nonlinear Fractional Partial Differential Equations

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
The system of nonlinear fractional partial differential equations (SNFPDEs) are widely used in modeling various phenomena in applied sciences. Consequently, finding the solutions to SNFPDEs has become paramount. Recently, an analytic method known as the Semiseparation of Variables Method (S‐SVM) has been applied to obtain the exact solution of the ...
Henry Kwasi Asiedu, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah, Igor Freire   +4 more
wiley   +1 more source

The Exact Solutions of the Fractional Partial Differential Equations Using the Fractional Prabhakar Power Series Method

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
The Fractional Power Series Method (FPSM) is a method which provides systematic procedure to obtain exact solution of the Fractional Partial Differential Equations (FPDEs). Recently, the FPSM has been applied in science and engineering to address physical problems in heat conduction, fluid dynamics, quantum mechanics, viscoelastic and so on ...
Isaac Addai, Benedict Barnes, Isaac Kwame Dontwi, Kwaku Forkuoh Darkwah, Shikha Binwal   +4 more
wiley   +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

Approximate Analytical Solutions to Conformable Modified Burgers Equation Using Homotopy Analysis Method

Annales Mathematicae Silesianae, 2019
In this paper the authors aspire to obtain the approximate analytical solution of Modified Burgers Equation with newly defined conformable derivative by employing homotopy analysis method (HAM).
Kurt Ali, Tasbozan Orkun
doaj   +1 more source

A Unified Approach with Physics-Informed Neural Networks (PINNs) and the Homotopy Analysis Method (HAM) for Precise Approximate Solutions to Nonlinear PDEs: A Study of Burgers, Huxley, Fisher and Their Coupled Form

Symmetry
This study presents a systematic comparative benchmark between two distinct paradigms for solving nonlinear partial differential equations (PDEs): the data-driven Physics-Informed Neural Networks (PINNs) and the analytical Homotopy Analysis Method (HAM).
Muhammad Azam, Dalal Alhwikem, Naseer Ullah, Faisal Alhwikem   +3 more
openaire   +1 more source

On a New Reliable Algorithm

International Journal of Differential Equations, 2009
An analytical expression for the solution of the prey-predator problem by an adaptation of the homotopy analysis method (HAM) is presented. The HAM is treated as an algorithm for approximating the solution of the problem in a sequence of time intervals ...
A. K. Alomari, M. S. M. Noorani, R. Nazar   +2 more
doaj   +1 more source