Numerical solution of delay systems containing inverse time by hybrid functions

Xing Tao Wang

doi:10.1016/j.amc.2005.04.056

Numerical solution of delay systems containing inverse time by hybrid functions

Xing Tao Wang^*

^*Corresponding author for this work

Faculty of Computing

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

The hybrid functions consisting of general block-pulse functions and Legendre polynomials are presented to solve delay systems containing inverse time. The direct algorithm for a product of a matrix function and a vector function is given. The general operational matrix is introduced. The delay function and inverse time function are expanded by hybrid functions. The approximate solution of delay systems containing inverse time is derived. Numerical examples illustrate that the algorithms are applicable.

Original language	English
Pages (from-to)	535-546
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	173
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2005.04.056
State	Published - 1 Feb 2006

Keywords

Block-pulse functions
Delay systems containing inverse time
Legendre polynomials

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10.1016/j.amc.2005.04.056

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abstract = "The hybrid functions consisting of general block-pulse functions and Legendre polynomials are presented to solve delay systems containing inverse time. The direct algorithm for a product of a matrix function and a vector function is given. The general operational matrix is introduced. The delay function and inverse time function are expanded by hybrid functions. The approximate solution of delay systems containing inverse time is derived. Numerical examples illustrate that the algorithms are applicable.",

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AB - The hybrid functions consisting of general block-pulse functions and Legendre polynomials are presented to solve delay systems containing inverse time. The direct algorithm for a product of a matrix function and a vector function is given. The general operational matrix is introduced. The delay function and inverse time function are expanded by hybrid functions. The approximate solution of delay systems containing inverse time is derived. Numerical examples illustrate that the algorithms are applicable.

KW - Block-pulse functions

KW - Delay systems containing inverse time

KW - Legendre polynomials

UR - https://www.scopus.com/pages/publications/32144438670

U2 - 10.1016/j.amc.2005.04.056

DO - 10.1016/j.amc.2005.04.056

M3 - 文章

AN - SCOPUS:32144438670

SN - 0096-3003

VL - 173

SP - 535

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Numerical solution of delay systems containing inverse time by hybrid functions

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Keywords

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