Heat transfer study through porous fins (Si3N4 and AL) with temperature-dependent heat generation

M Hatami, A Hasanpour, DD Ganji - Energy Conversion and Management, 2013 - Elsevier
In this study, three highly accurate and simple analytical methods, Differential
Transformation Method (DTM), Collocation Method (CM) and Least Square Method (LS) are …

Theory of differential equations in discontinuous piecewise‐defined functions

I Herrera - Numerical Methods for Partial Differential Equations …, 2007 - Wiley Online Library
A truly general and systematic theory of finite element methods (FEM) should be formulated
using, as trial and test functions, piecewise‐defined functions that can be fully discontinuous …

[HTML][HTML] Unsteady sedimentation analysis of spherical particles in Newtonian fluid media using analytical methods

R Nouri, DD Ganji, M Hatami - Propulsion and Power Research, 2014 - Elsevier
Unsteady settling behavior of solid spherical particles falling in water as a Newtonian fluid is
investigated using a drag coefficient of the form given by Ferreira et al. Differential …

Application of Galerkin and Collocation method to the electrohydrodynamic flow analysis in a circular cylindrical conduit

R Hasankhani Gavabari, M Abbasi, DD Ganji… - Journal of the Brazilian …, 2016 - Springer
An analysis has been performed to study the problem of Electrohydrodynamic flow of a fluid
in an ion-drag configuration in a circular cylindrical conduit. The governing equations for this …

Applying orthogonal collocation for rapid and reliable solutions of transient flow in naturally fractured reservoirs

SR Moosavi, B Vaferi, DA Wood - Journal of Petroleum Science and …, 2018 - Elsevier
Naturally fractured reservoirs (NFR) contain a significant portion of the worldwide oil and gas
reserves. Pressure transient analysis is the most well-established methodology for …

Collocation methods: More efficient procedures for applying collocation

I Herrera, R Yates, E Rubio - Advances in Engineering Software, 2007 - Elsevier
In recent years, new and more effective procedures for applying collocation have been
published. This article is devoted to present a revision of this subject and complement its …

Three weighted residual methods based on Jeffery-Hamel flow

DD Ganji, M Hatami - International Journal of Numerical Methods for …, 2014 - emerald.com
Purpose–The purpose of this paper is to demonstrate the eligibility of the weighted residual
methods (WRMs) applied to Jeffery-Hamel Flow. Selecting the most appropriate method …

A general effective method for combining collocation and DDM: An application of discontinuous Galerkin methods

I Herrera, R Yates - Numerical Methods for Partial Differential …, 2005 - Wiley Online Library
Abstract Domain decomposition methods (DDM) have received much attention in recent
years. They constitute the most effective means of using parallel computing resources to …

[PDF][PDF] Application of VIM, HPM and CM to the system of strongly nonlinear fin problem

MR Shirkhani, A Hoshyar, DD Ganji - Journal of Engineering and …, 2018 - core.ac.uk
The nonlinear fin problem with temperature-dependent thermal conductivity and heat
transfer coefficient is analytically studied. Collocation method (CM), Variation iteration …

[PDF][PDF] Effects of density and size on terminal velocity of a vertically falling spherical particles in Newtonian fluid by diagonal Pade'approximant

H Kaur, BP Garg, N Rani - International Journal of Statics and …, 2018 - mathsjournal.com
In this paper, the effects of physical parameters on terminal velocity of vertically falling
spherical particles made of Glass, Iron, Copper and Silver with different diameters (D= 0.1 …