期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2019
卷号：2239
页码：552-557
出版社：Newswood and International Association of Engineers
摘要：The expanded trigonometrically matched block
variable-step-size technics for computing oscillatory vibrations
are considered. The combination of both is of import for
determining a suited step-size and yielding better error estimates.
Versatile schemes to approximate the error procedure bank on
the choice of block variable-step-size technics. This field of study
employs an expanded trigonometrically matched block variablestep-size-technics
for computing oscillating vibrations. This
expanded trigonometrically matched is interpolated and
collocated at some selected grid points to form the system of
equations and simplifying as well as subbing the unknowns
values into the expanded trigonometrically matched will produce
continuous block variable-step-size technic. Valuating the
continuous block variable-step size technics at solution points of
will lead to the block variable-step-size
technics. Moreover, this operation will give rise to the principal
local truncation error (PLTE) of the block variable-step-size
technics after showing the order of the method. Numeral final
results demonstrate that the expanded trigonometrically
matched block variable-step-size technics are more
efficient and execute better than existent methods in terms
of the maximum errors at all examined convergence
criteria. In addition, this is the direct consequence of
designing a suited step-size to fit the acknowledged
frequence thereby bettering the block variable-step-size
with controlled errors.
关键词：block variable-step-size technics; convergence;
criteria; expanded trigonometrically matched; maximum errors;;
principal local truncation error.
