A Comparison Study of HO-CFD and DSC-RSK with Small Computational Bandwidths for Solving Some Classes of Boundary-Value and Eigenvalue Problems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

2 Scopus Citations
View graph of relations

Author(s)

Detail(s)

Original languageEnglish
Journal / PublicationInternational Journal of Computational Methods
Volume17
Issue number6
Online published20 Mar 2019
Publication statusPublished - Aug 2020

Abstract

This paper conducts a comparison analysis of high order central finite difference (HO-CFD) method and discrete singular convolution-regularized Shannon kernel (DSC-RSK) scheme with small computational bandwidths for solving some classes of boundary-value and eigenvalue problems. Second-, fourth- and sixth-order partial differential equations are taken into account. New strategies to generate parameters r in DSC-RSK are proposed to ensure minimum errors for each case, and the influence of parameters r with more decimal places is analyzed. Apart from the existing matched interface and boundary (MIB) scheme, a new double-parameter MIB scheme is also proposed. The influence of small computational bandwidths is discussed in detail. Numerical results by using HO-CFD and DSC-RSK are presented and compared to illustrate the performance of both methods in small bandwidth limit. Some remarkable conclusions have been drawn at the end of this study.

Research Area(s)

  • boundary value, discrete singular convolution, eigenvalue, High order finite difference

Citation Format(s)

A Comparison Study of HO-CFD and DSC-RSK with Small Computational Bandwidths for Solving Some Classes of Boundary-Value and Eigenvalue Problems. / Li, Wei; Song, Zhiwei; He, Xiaoqiao; Xie, De.

In: International Journal of Computational Methods, Vol. 17, No. 6, 08.2020.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal