Results 71 to 80 of about 18,356 (198)

Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group

Open Physics, 2016
The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are ...
Ene Remus-Daniel, Pop Camelia, Petrişor Camelia   +2 more
doaj   +1 more source

An Optimized Block Hybrid Spectral Simple Iteration Methods for Solving Nonlinear Evolution Equations

International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.
ABSTRACT This study presents a new optimized block hybrid method and spectral simple iteration method (OBHM‐SSIM) for solving nonlinear evolution equations. In this method, we employed a combination of the spectral collocation method in space and the optimized block hybrid method in time, along with a simple iteration scheme to linearize the equations.
Salma Ahmedai, Precious Sibanda, Sandile Motsa, Sicelo Goqo, Osman A. I. Noreldin   +4 more
wiley   +1 more source

Numerical Investigation of Maxwell Dusty Fluid Flow Over a Porous Medium With Variable Thermal Conductivity

Engineering Reports, Volume 7, Issue 12, December 2025.
Flow geometry. ABSTRACT This research formulates a two‐phase mathematical model to investigate the dynamics of a Maxwell dusty fluid across a linearly stretching surface embedded within a Darcy–Forchheimer porous medium, influenced by a magnetic field and varying thermal conductivity.
Seham Ayesh Allahyani, Shafiullah Niazai, Shanza Nazeer, Madiha Akram, Amal Abdulrahman, Ejaz Ahmed, Sohail Nadeem   +6 more
wiley   +1 more source

An optimal method for approximating the delay differential equations of noninteger order

Advances in Difference Equations, 2018
The main purpose of this paper is to use a method with a free parameter, named the optimal asymptotic homotopy method (OHAM), in order to obtain the solution of delay differential equations, delay partial differential equations, and a system of coupled ...
Dumitru Baleanu, Bahram Agheli, Rahmat Darzi   +2 more
doaj   +1 more source

A Computational Study of MHD Radiative Viscoelastic Nanofluid Over a Stretching Sheet With Thermophoresis and Chemical Reaction

Engineering Reports, Volume 7, Issue 12, December 2025.
A computational model for analyzing heat and mass transfer in MHD viscoelastic nanofluid flow with Brownian motion, thermal radiation and chemical reaction are developed in this work. The findings demonstrate how flow stability, heat transfer, and solute distribution are impacted by these significant physical effects.
Tazin Tamanna, Sarder Firoz Ahmmed
wiley   +1 more source

Comparison of Different Analytic Solutions to Axisymmetric Squeezing Fluid Flow between Two Infinite Parallel Plates with Slip Boundary Conditions

Abstract and Applied Analysis, 2012
We investigate squeezing flow between two large parallel plates by transforming the basic governing equations of the first grade fluid to an ordinary nonlinear differential equation using the stream functions ur(r,z,t)=(1/r)(∂ψ/∂z) and uz(r,z,t)=−(1/r ...
Hamid Khan, S. Islam, Javed Ali, Inayat Ali Shah   +3 more
doaj   +1 more source

A Framework for the Solution of Tree‐Coupled Saddle‐Point Systems

Numerical Linear Algebra with Applications, Volume 32, Issue 6, December 2025.
ABSTRACT We consider the solution of saddle‐point systems with a tree‐based block structure, introducing a parallelizable direct method for their solution. As our key contribution, we then propose several structure‐exploiting preconditioners to be used during applications of the GMRES algorithm and analyze their properties.
Christoph Hansknecht, Bernhard Heinzelreiter, John W. Pearson, Andreas Potschka   +3 more
wiley   +1 more source

Dynamical Study of Fokker-Planck Equations by Using Optimal Homotopy Asymptotic Method

Mathematics, 2019
In this article, Optimal Homotopy Asymptotic Method (OHAM) is used to approximate results of time-fractional order Fokker-Planck equations. In this work, 3rd order results obtained through OHAM are compared with the exact solutions.
H. M. Younas, Muhammad Mustahsan, Tareq Manzoor, Nadeem Salamat, S. Iqbal   +4 more
doaj   +1 more source

.An optimal Galerkin-homotopy asymptotic method applied to the nonlinear second-order BVPs

Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2021
Summary: In this paper, a well-known optimal Galerkin-homotopy asymptotic method (OGHAM) has been used to solve the nonlinear second-order boundary value problems (BVPs) derived from the problem of thermo-geometric fin parameter together. The obtained solution has been placed by iteration in each equation of the system.
openaire   +1 more source

Investigation of Thermal Management Capacity of Casson Electrolytes in Porous Electrodes in Lithium‐Ion Battery Applications

Battery Energy, Volume 4, Issue 5, September 2025.
For a Casson flow which is under consideration here, its rheological equation is adopted with the assumptions of viscous dissipation properties of flow and all the constant properties. By Nakamura and Sawada, the model proposed, which is biviscosity, is implemented and is mostly used for the representation of Casson electrolytes in LIB.
Tareq Manzoor, S. Iqbal, Tauseef Anwer, Sanaullah Manzoor, Ghulam Mustafa, Habib Ullah Manzoor   +5 more
wiley   +1 more source