TY - JOUR
ID - 102305
TI - Numerical Solution of Optimal Control Problems Using New Third Kind Chebyshev Wavelets Operational Matrix of Integration
JO - Engineering and Technology Journal
JA - ETJ
LA - en
SN - 1681-6900
AU - Abdullah Abdurrahman, Asmaa
AD -
Y1 - 2014
PY - 2014
VL - 32
IS - 1B
SP - 145
EP - 156
KW - Third Kind Chebyshev Polynomials
KW - Wavelets
KW - Optimal control problems
KW - Spectral Methed
DO - 10.30684/etj.32.1B.17
N2 - In this paper, we first construct third kind Chebyshev wavelets on the interval [0,1). Then, a 2^k M×2^k M matrix P, named as almost third kind Chebyshev wavelets operational matrix of integration is constracted and used to reduce the optimal control problem to a system of algebric equation with the aid of spectral method, which can be solved easily. The uniform convergence of third kind Chebyshev wavelets is also discussed in this paper. The method is then tested on numerical example.
UR - https://etj.uotechnology.edu.iq/article_102305.html
L1 - https://etj.uotechnology.edu.iq/article_102305_058b0b1b3b725606c9fe3df02a46167d.pdf
ER -