A Spectral Method for the Electrohydrodynamic Flow in a Circular Cylindrical Conduit  

作　　者：Mohsen MOGHTADAEI Hassan SABERI NIK Saeid ABBASBANDY 

机构地区：[1]Department of Mathematics, Imam Khomeini International University [2]Young Researchers and Elite Club, Neyshabur Branch, Islamic Azad University

出　　处：《Chinese Annals of Mathematics,Series B》2015年第2期307-322,共16页数学年刊（B辑英文版）

摘　　要：This paper presents a combination of the hybrid spectral collocation technique and the spectral homotopy analysis method(SHAM for short) for solving the nonlinear boundary value problem(BVP for short) for the electrohydrodynamic flow of a fluid in an ion drag configuration in a circular cylindrical conduit. The accuracy of the present solution is found to be in excellent agreement with the previously published solution. The authors use an averaged residual error to find the optimal convergence-control parameters. Comparisons are made between SHAM generated results, results from literature and Matlab ode45 generated results, and good agreement is observed.

关 键 词：Spectral collocation Spectral homotopy analysis method Optimal convergence-control parameters Electrohydrodynamic flow 

分 类 号：O441.1[理学—电磁学]