Results 31 to 40 of about 2,759 (180)

Solving Famous Nonlinear Coupled Equations with Parameters Derivative by Homotopy Analysis Method

International Journal of Differential Equations, 2011
The homotopy analysis method (HAM) is employed to obtain symbolic approximate solutions for nonlinear coupled equations with parameters derivative. These nonlinear coupled equations with parameters derivative contain many important mathematical physics ...
Sohrab Effati, Hassan Saberi Nik, Reza Buzhabadi   +2 more
doaj   +1 more source

Bioconvective Unsteady Casson Hybrid Nanofluid Flow on a Variable Darcy Regime Between Two Rotating Disks With Variable Heat Source

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT This study carries significant consequences in various engineering applications, such as cooling rotating disk surfaces, improving chemical reactor performance, and designing filtration systems. Considering these main applications in view, the aim of this study is to investigate time‐dependent Casson hybrid nanofluid flow on a permeable ...
Ebrahem A. Algehyne, Abdul Bariq, Mounirah Areshi, Fahad Maqbul Alamrani, Zehba Raizah, Izharul Haq, Anwar Saeed   +6 more
wiley   +1 more source

Homotopy analysis method for solving KdV equations [PDF]

Surveys in Mathematics and its Applications, 2010
A scheme is developed for the numerical study of the Korteweg-de Vries (KdV) and the Korteweg-de Vries Burgers (KdVB) equations with initial conditions by a homotopy approach.
Hossein Jafari, M. A. Firoozjaee
doaj  

A Detailed and Comprehensive Account of Fractional Physics‐Informed Neural Networks: From Implementation to Efficiency

Artificial Intelligence for Engineering, EarlyView.
Caputo‐based fPINNs accurately solve fractional ODEs and PDEs while exposing an accuracy–cost trade‐off driven by the history‐dependent fractional derivative. Temporal collocation and shorter time windows are the most effective strategies for improving early‐time accuracy without unnecessary spatial refinement.
Donya Dabiri, Joshua DaRosa, Milad Saadat, Deepak Mangal, Safa Jamali   +4 more
wiley   +1 more source

Homotopy Analysis-Based Hybrid Genetic Algorithm and Secant Method to Solve IVP and Higher-Order BVP

IEEE Access, 2021
The analytical solution of the Initial Value Problem (IVP) and the Boundary Value Problem (BVP) is an essential issue in numerous engineering applications. However, it cannot usually be realized by simple methods.
Hala A. Omar
doaj   +1 more source

Volume Quantization with Flexible Singularities for Hexahedral Meshing

Computer Graphics Forum, EarlyView.
Abstract We present a novel algorithm for quantization and subsequent hexahedral mesh generation from seamless volumetric maps. Quantization is the process of choosing integers that represent the numbers of hexahedral elements to be placed in each region of the volume, and transforming the seamless map into an integer‐grid map matching that choice ...
H. Brückler, M. Campen
wiley   +1 more source

Establishing Shape Correspondences: A Survey

Computer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source

An Analytical Study for (2 + 1)-Dimensional Schrödinger Equation

The Scientific World Journal, 2014
In this paper, the homotopy analysis method has been applied to solve (2 + 1)-dimensional Schrödinger equations. The validity of this method has successfully been accomplished by applying it to find the solution of some of its variety forms.
Behzad Ghanbari
doaj   +1 more source

Embedding Optimization of Layouts via Distortion Minimization

Computer Graphics Forum, EarlyView.
Abstract Given an embedding of a layout in the surface of a target mesh, we consider the problem of optimizing the embedding geometrically. Layout embeddings partition the surface into multiple disk‐like patches, making them particularly useful for parametrization and remeshing tasks, such as quad‐remeshing, since these problems can then be solved on ...
A. Heuschling, I. Lim, L. Kobbelt
wiley   +1 more source

A Simple Grid‐Maps Pipeline: Restructured, Accelerated and Upgraded

Computer Graphics Forum, EarlyView.
Abstract Grid maps – spatially arranged small multiples – are a powerful tool to show complex geospatial data. Meulemans et al. (2020) introduced a pipeline for computing high‐quality grid maps that are shaped roughly according to their containing geographic outlines.
W. Meulemans
wiley   +1 more source