Results 21 to 30 of about 835 (135)

Modified Homotopy Analysis Method for Zakharov-Kuznetsov Equations

Walailak Journal of Science and Technology, 2013
In this paper, we apply Modified Homotopy Analysis Method (MHAM) to find appropriate solutions to Zakharov-Kuznetsov equations, which are of utmost importance in applied and engineering sciences.
Muhammad USMAN, Tamour ZUBAIR, Irfan RASHID, Imran RASHID, Ahmet YILDIRIM, Syed Tauseef MOHYUD-DIN   +5 more
doaj   +1 more source

Direct Numerical Simulation of Magnetohydrodynamic Slip‐Flow Past a Stretching Surface Using Physics‐Informed Neural Network

Heat Transfer, Volume 55, Issue 3, Page 1674-1682, May 2026.
ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
wiley   +1 more source

Bioconvective Chemically Reactive Radiative Squeezing Flow of a Casson Hybrid Nanofluid Between Two Parallel Plates Under Variable Viscosity

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 2, March/April 2026.
ABSTRACT Hybrid nanofluids, known for their superior thermal and electrical conductivity, have demonstrated remarkable potential in enhancing the heat transfer capability of conventional base fluids. This study analyzes the effects of viscous dissipation and heat radiation on two‐dimensional unsteady incompressible squeezing flow transporting hybrid ...
Hajra Batool, Dur‐e‐Shehwar Sagheer, Muhammad Sabeel Khan, Hassan Shahzad   +3 more
wiley   +1 more source

On Spectral Homotopy Analysis Method for Solving Linear Volterra and Fredholm Integrodifferential Equations

Abstract and Applied Analysis, 2012
A modification of homotopy analysis method (HAM) known as spectral homotopy analysis method (SHAM) is proposed to solve linear Volterra integrodifferential equations.
Z. Pashazadeh Atabakan, A. Kılıçman, A. Kazemi Nasab   +2 more
doaj   +1 more source

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

Engineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source

The DNA of Calabi–Yau Hypersurfaces

Fortschritte der Physik, Volume 74, Issue 2, February 2026.
Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden, Andreas Schachner, Elijah Sheridan   +2 more
wiley   +1 more source

Generalizing Homotopy Analysis Method to Solve System of Integral Equations

Journal of Mathematical Extension, 2010
This paper presents the application of the Homotopy Analysis Method (HAM) and Homotopy Perturbation Method (HPM) for solving systems of integral equations.
A. Shayganmanesh (Golbabai)
doaj  

Homotopy analysis method for solving fuzzy Nonlinear Volterra integral equation of the second kind

Iraqi Journal for Computer Science and Mathematics
This paper introduces the homotopy analytic HAM, an effective and reliable method for solving computationally challenging fuzzy Volterra nonlinear integral equations of the second type. Numerical examples are provide to demonstrate the accuracy of  HAM.
Rana Hussein, Moez Khenissi
doaj   +1 more source

Control of Dissipative Heat on the MHD Casson Fluid With the Interaction of Velocity Slip and Convective Condition Over a Stagnation Point

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 1, January/February 2026.
ABSTRACT The growing need for enhanced thermal regulation is vital in recent advancements such as biomedical engineering, polymer processing, etc. In particular, the non‐Newtonian fluid likely Casson fluid with yield stress is used in these areas because of its ability to prepare biofluids and industrial suspensions effectively.
Bhagyabati Behuria, B. Nayak, S. R. Mishra   +2 more
wiley   +1 more source

Approximate Solutions of Fractional Differential Equations Using Optimal q-Homotopy Analysis Method: A Case Study of Abel Differential Equations

Fractal and Fractional
In this study, the optimal q-Homotopy Analysis Method (optimal q-HAM) has been used to investigate fractional Abel differential equations. This article is designed as a case study, where several forms of Abel equations, containing Bernoulli and Riccati ...
Süleyman Şengül, Zafer Bekiryazici, Mehmet Merdan   +2 more
doaj   +1 more source