Numerical Solution of Linear Time-Varying Differential Equations using the Hybrid of Block-pulse and Rationalized Haar Functions-Reference-Cited by-同舟云学术

Numerical Solution of Linear Time-Varying Differential Equations using the Hybrid of Block-pulse and Rationalized Haar Functions

Published:2006-10 Issue:10 Volume:12 Page:1081-1092
ISSN:1077-5463
Container-title:Journal of Vibration and Control
language:en
Short-container-title:Journal of Vibration and Control

Author:

Arabzadeh B.¹,Razzaghi M.²,Ordokhani Y.³

Affiliation:

1. Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran

2. Department of Mathematics and Statistics, Mississippi State University, Mississippi State, MS 39762, USA and Department of Applied Mathematics, Amirkabir University of Technology, Tehran, Iran,

3. Department of Mathematics, Alzahra University, Tehran, Iran

Abstract

A numerical method for finding the solution of linear time-varying differential equations is proposed. The properties of the hybrid functions, which consist of block-pulse functions plus rationalized Haar functions, are presented. The properties of the hybrid functions together with the operational matrices of integration and product are then utilized to reduce the solution of differential equations to the solution of algebraic equations. Examples are included to demonstrate the validity and applicability of the technique.

Publisher

SAGE Publications

Subject

Mechanical Engineering,Mechanics of Materials,Aerospace Engineering,Automotive Engineering,General Materials Science

Link

http://journals.sagepub.com/doi/pdf/10.1177/1077546306069121

Reference18 articles.

1. Shifted Legendre function approximation of differential equations; application to crystallization processes

2. A walsh series direct method for solving variational problems

3. Shifted Chebyshev direct method for solving variational problems

4. Solutions of stiff differential equations via generalized block pulse functions

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