Results 41 to 50 of about 5,073 (168)

A Sixth-Order Extension to the MATLAB Package bvp4c of J. Kierzenka and L. Shampine [PDF]

, 2008
A new two-point boundary value problem algorithm based upon the MATLAB bvp4c package of Kierzenka and Shampine is described. The algorithm, implemented in a new package bvp6c, uses the residual control framework of bvp4c (suitably modified for a more ...
Hale, Nicholas, Moore, Daniel R.
core   +1 more source

Numerical Investigation of a Two-Phase Nanofluid Model for Boundary Layer Flow Past a Variable Thickness Sheet [PDF]

, 2018
This paper investigates heat and mass transfer of nanofluid over a stretching sheet with variable thickness. The techniques of similarity transformation and homotopy analysis method are used to find solutions.
Lin, Ping, Liu, Chunyan, Liu, Fawang, Pan, Mingyang, Zheng, Liancun   +4 more
core   +2 more sources

Analytical Modeling of Heat Transfer and Deformation Around a Circular Cavity in Elastic Ground

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT The subsurface is increasingly exploited to host energy, utilities, and infrastructure systems that interact with surrounding soils and rocks through their thermal and functional operation. Prominent examples are provided by energy geostructures, district heating networks, buried power cables, steam and water pipes, and underground nuclear ...
Arianna Lupattelli, Diana Salciarini, Alessandro F. Rotta Loria   +2 more
wiley   +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

A COMPARATIVE ANALYSIS OF CHEBFUN AND MATLAB’S BVP4C METHOD FOR SOLVING THE FISHER-KPP EQUATION

Kashf Journal of Multidisciplinary Research
This study investigates numerical solutions to the Fisher-KPP equation, a nonlinear ordinary differential equation (ODE) used in modeling population dynamics and reaction-diffusion processes. We compare two solvers: MATLAB’s bvp4c, a widely-used method for boundary value problems, and Chebfun, which utilizes Chebyshev polynomial approximations for ...
null Nouman Iftikhar, null Zunera Shoukat, null Muhammad Zeemam, null Saima Mushtaq   +3 more
openaire   +1 more source

Numerical Investigation of Velocity and Thermal Slips on MHD Hybrid Nanofluid Flow Past a Stretching Sheet With nth‐Order Chemical Reaction Effects

Engineering Reports, Volume 8, Issue 4, April 2026.
The velocity and thermal slip boundary conditions on MHD hybrid nanofluid flow past a stretching sheet are examined. Hybrid nanofluids are used to enhance the heat transfer and thermal efficiency of the systems. The nth‐order chemical reaction effect is also taken into account.
B. Naga Lakshmi, Ch. Maheswari, V. S. Bhagavan, Sneha Latha Pala, Asra Anjum, Umair Khan, Syed Modassir Hussain   +6 more
wiley   +1 more source

Dual Solutions of Non‐Newtonian Micropolar Nanofluid Flow and Heat Transfer Over a Stretching/Shrinking Surface With Chemical Reaction and Lorentz Forces

Engineering Reports, Volume 8, Issue 4, April 2026.
This plot represents the flow configuration of the two‐phase nanofluid model. The dynamics of boundary layer micropolar nanofluid flow, heat and mass transfer characteristics past a vertical exponentional stretching/shrinking sheet in the presence of chemical reaction and thermal raditaion effects are investigated. In addition, the Lorentz and buoyancy
Shahid Hussain Soomro, Sumera Dero, Umair Khan, Syed Modassir Hussain   +3 more
wiley   +1 more source

2D mixed convection non-Darcy model with radiation effect in a nanofluid over an inclined wavy surface

Alexandria Engineering Journal, 2022
The two-dimensional radiating mixed convective flowing in a nanofluid, together with the non-Darcy penetrable material over an inclined wavy surface is examined.
Shankar Goud Bejawada, Yanala Dharmendar Reddy, Wasim Jamshed, Mohamed R. Eid, Rabia Safdar, Kottakkaran Sooppy Nisar, Siti Suzilliana Putri Mohamed Isa, Mohammad Mahtab Alam, Shahanaz Parvin   +8 more
doaj   +1 more source

Bioconvection Darcy–Forchheimer Flow of Ree‐Eyring Nanofluid Over a Riga Plate With Arrhenius Activation Energy and Viscous Dissipation

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 2, March/April 2026.
ABSTRACT This work examines the intricate interactions of heat radiation, viscous dissipation, the Cattaneo–Christov thermal model, gyrotactic microorganisms, Arrhenius activation energy, and Darcy–Forchheimer flow affecting Ree‐Eyring nanofluid behavior across a Riga plate.
M. Vinodkumar Reddy, V. Sivaramakrishna, Jintu Mani Nath, V. V. L. Deepthi, Bamdeb Dey   +4 more
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