%0 Journal Article
%T An Adaptive Time Step Scheme based on TaylorĄ¯s Remainder Term
%A Henry Foust
%J Journal of Management Science and Business Intelligence
%P 53-61
%@ 2472-9264
%D 2016
%R 10.5281/zenodo.376751
%X An adaptive time step method was developed based on the Taylor series remainder term associated
with EulerĄ¯s method, which is utilized to solve initial value problems involving ordinary
differential equations. The accuracy and stability of the developed method was determined for
three test cases where one of the test cases was stiff. It is also show that the accuracy of the
developed method compares well with Runge Kutta 2. In future research, this method will be
applied to explicit and implicit versions of Runge Kutta 2 to include CalahanĄ¯s method, which is
a variation of the RosenbrockĄ¯s scheme.
%K Runge Kutta
%K Adaptive Time Step
%K Error Control
%K Numerical Analysis
%U http://ibii-us.org/Journals/JMSBI/V1N1/Publish/V1N1_6.pdf