International Journal of Numerical Methods for Heat & Fluid Flow: Volume 21 Issue 3

Numerical soliton solution of the Kaup‐Kupershmidt equation

Syed Tauseef Mohyud‐Din, Ahmet Yıldırım, Selin Sarıaydın

The purpose of this paper is to obtain soliton solution of the Kaup‐Kupershmidt (KK) equation with initial condition. The most important feature of this method is to obtain the…

Efficient and accurate numerical treatment of Huxley equation

Talaat S. El Danaf

The purpose of this paper is to demonstrate how numerical solutions of the nonlinear Huxley equation are obtained by collocation‐based method using cubic B‐spline over finite…

Heat transfer in composite materials using a new truly local meshless method

Isa Ahmadi, M.M. Aghdam

The purpose of this paper is to present a micromechanical model based on a new truly local meshless method for analysis of heat transfer in composite materials.

Numerical solution of Burgers' equation with factorized diagonal Padé approximation

Kemal Altıparmak, Turgut Öziş

The purpose of this paper is to present an approach capable of solving Burgers' equation. Diagonal Padé approximation with a factorization scheme is applied to find numerical…

A numerical simulation of modified Boussinesq and seven‐order Sawada‐Kotara equations

A.A. Soliman

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…

A pressure‐correction procedure with high‐order schemes implemented on unstructured meshes

Huanxin Lai, Gailan Xing, Shantong Tu, Ling Zhao

The purpose of this paper is to present a pressure‐correction procedure for incompressible flows using unstructured meshes. A method of implementing high‐order spatial schemes on…

Multi‐objective optimization design of a micro‐channel heat sink using adaptive genetic algorithm

Shao Baodong, Wang Lifeng, Li Jianyun, Cheng Heming

The purpose of this paper is to show how, with a view to the shortcomings of traditional optimization methods, a multi‐objective optimization concerning the structure sizes of…