Document Type
Thesis
Date of Award
5-31-1986
Degree Name
Master of Science in Mechanical Engineering - (M.S.)
Department
Mechanical Engineering
First Advisor
Harry Herman
Second Advisor
Bernard Koplik
Third Advisor
Denis L. Blackmore
Abstract
Chebyshev polynomial and collocation methods are adapted to solve general ordinary differential equations ( initial-value problems and boundary-value problems ). Approximate solutions of initial-value problems are obtained in step-by-step fasion. the solutions have minimax absolute error in the interval and correct values at the end points. The approximate solutions of boundary-value problem will be continuous on the whole domain and have piecewise Chebyshev approximation characteristics in each subinterval of the chosen partition.
Recommended Citation
Hoh, Kwo-En, "Chebyshev approximate solution for stiff problems" (1986). Theses. 3403.
https://digitalcommons.njit.edu/theses/3403
