The Legendre wavelets operational matrix of integration

被引:253
作者
Razzaghi, M [1 ]
Yousefi, S
机构
[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA
[2] Amirkabir Univ, Dept Math, Tehran, Iran
关键词
D O I
10.1080/002077201300080910
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
An operational matrix of integration P based on Legendre wavelets is presented. A general procedure for forming this matrix is given. Illustrative examples are included to demonstrate the validity and applicability of the matrix P.
引用
收藏
页码:495 / 502
页数:8
相关论文
共 10 条
[1]   SHIFTED LEGENDRE DIRECT METHOD FOR VARIATIONAL-PROBLEMS [J].
CHANG, RY ;
WANG, ML .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1983, 39 (02) :299-307
[2]   WALSH SERIES DIRECT METHOD FOR SOLVING VARIATIONAL PROBLEMS [J].
CHEN, CF ;
HSIAO, CH .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1975, 300 (04) :265-280
[3]   Haar wavelet method for solving lumped and distributed-parameter systems [J].
Chen, CF ;
Hsiao, CH .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1997, 144 (01) :87-94
[4]  
CHEN CF, 1977, J FRANKLIN I, V503, P267
[5]  
Gu JS, 1996, INT J SYST SCI, V27, P623, DOI 10.1080/00207729608929258
[6]   SHIFTED TSCHEBYSCHEFF DIRECT METHOD FOR SOLVING VARIATIONAL-PROBLEMS [J].
HORNG, IR ;
CHOU, JH .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1985, 16 (07) :855-861
[7]   SOLUTION OF INTEGRAL-EQUATIONS VIA LAGUERRE-POLYNOMIALS [J].
HWANG, C ;
SHIH, YP .
COMPUTERS & ELECTRICAL ENGINEERING, 1982, 9 (3-4) :123-129
[8]  
O'Neil P.V., 1987, ADV ENG MATH
[9]   THE OPERATIONAL MATRIX OF INTEGRATION FOR BESSEL-FUNCTIONS [J].
PARASKEVOPOULOS, PN ;
SKLAVOUNOS, PG ;
GEORGIOU, GC .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1990, 327 (02) :329-341
[10]   FOURIER-SERIES DIRECT METHOD FOR VARIATIONAL-PROBLEMS [J].
RAZZAGHI, M ;
RAZZAGHI, M .
INTERNATIONAL JOURNAL OF CONTROL, 1988, 48 (03) :887-895