Haar wavelet approximation for magnetohydrodynamic flow equations

被引：22

作者：

Celik, Ibrahim ^{[1
]}

机构：

[1] Pamukkale Univ, Dept Math, Fac Arts & Sci, Denizli, Turkey

来源：

APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 06期

关键词：

Haar wavelets; Partial differential equations; Approximate solution; Magnetohydrodynamic flow; PARTIAL-DIFFERENTIAL-EQUATIONS; SPECTRAL COLLOCATION METHOD; CHEBYSHEV POLYNOMIALS; NUMERICAL-SOLUTION; ACCURATE SOLUTION; TRANSFORM; EXPANSION;

D O I：

10.1016/j.apm.2012.07.048

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This study proposes Haar wavelet (HW) approximation method for solving magnetohydrodynamic flow equations in a rectangular duct in presence of transverse external oblique magnetic field. The method is based on approximating the truncated double Haar wavelets series. Numerical solution of velocity and induced magnetic field is obtained for steady-state, fully developed, incompressible flow for a conducting fluid inside the duct. The calculations show that the accuracy of the Haar wavelet solutions is quite good even in the case of a small number of grid points. The HW approximation method may be used in a wide variety of high-order linear partial differential equations. Application of the HW approximation method showed that it is reliable, simple, fast, least computation at costs and flexible. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：3894 / 3902

页数：9

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