...Yiğit Aksoy; Mehmet Pakdemirli; Saeid Abbasbandy; Hakan Boyacı Purpose The purpose of this paper is to apply, for the first time, the authors' newly developed perturbation iteration method to heat transfer problems. The effectiveness of the new method in nonlinear heat transfer problems...

...Said Mohammad Mehdi Hosseini; Syed Tauseef Mohyud‐Din; Husain Ghaneai Purpose The purpose of this paper is to apply He's variational iteration method (VIM) coupled with an auxiliary parameter, which proves very effective to control the convergence region of approximate solution. Design...

...Manel Labidi; Khaled Omrani Purpose The purpose of this paper is to implement variational iteration method (VIM) and homotopy perturbation method (HPM) to solve modified Camassa‐Holm (mCH) and modified Degasperis‐Procesi (mDP) equations. Design/methodology/approach Perturbation method...

... soliton solution for the KK equation by HPM. The numerical results presented show that this method is very accurate. © Emerald Group Publishing Limited 2011 Differential equations Numerical analysis Iterative methods Computer software Equation 1 Equation 2...

...A.A. Soliman Purpose The purpose of this paper is to apply the variational iterations method to solve two difference types such as the modified Boussinesq (MB) and seven‐order Sawada‐Kotara (sSK) equations and to compare this method with that obtained previously by Adomian decomposition. Design...

..., the variational iteration and homotopy perturbation methods are used to obtain a solution of a fractional diffusion equation. © Emerald Group Publishing Limited 2010 Differential equations Iterative methods Flow Heat Numerical analysis A fractional diffusion‐wave equation is a linear...

... in the first step and subsequent preconditioning of the transformed system is suggested. The GMRES iterative method, which usually performs well when applied to academic problems, showed dissatisfactory performance for the type of industrial flow simulations investigated in this work. It was found...

... during the incomplete elimination. © Emerald Group Publishing Limited 2004 Variational techniques Operations management Iterative methods Finite element analysis The use of direct equation solvers for large scale finite element simulation has been limited owing to the requirement...

.... The numerical results are in very good general agreement with available experimental data. s=  height of the backward facing step in Figure 4 or arc lengths in St=  Strouhal number Moving boundary Iterative methods Flow Moving mesh a=  coefficient...

... suffers from severe numerical instability. GMRES shows a higher suitability and stability but the overall convergence rate may be lower. © MCB UP Limited 1995 Iterative methods GMRES The conjugate gradient squared method The stabilized biconjugate gradient method Preconditioning...

... convection‐diffusion problems and alternative discretizations(including streamline diffusion methods) that remain stable as Kh↓ ∞. Preconditioning Iterative methods Convection dominated © MCB UP Limited 1995 INT. J. NUM. METH. HEAT FLUID FLOW, VOL. 5, 99-119 (1995) Selected Paper from...