eng
Science and Education Publishing
Turkish Journal of Analysis and Number Theory
2333-1232
2021-09-14
9
1
17
21
10.12691/tjant-9-1-3
TJANT2021913
article
Delaying of Exponential Solution When Using Integral Factor Analysis Method to Solve Differential Equations
Kajisa T.
kajisa@bio.mie-u.ac.jp
1
Bioresources, Mie University, Tsu-city, Japan
It was confirmed that the results given by the integral factor method showed the delaying of response in the numerical experiments using the advection-diffusion equation. However, the exponential solutions given by the integral factor method were not very smooth compared to the analytically correct solution. On the other hand, a delay in the exponential solution was clearly found for an increasing time increment. Therefore it is important to make the time increment shorter step by step, to check the delaying when applying this integral factor method. It would be expected that the exponential solution given by the integral factor analysis method shown here would have the same expression. That would mean that this method had great potential and could be widely used.
http://pubs.sciepub.com/tjant/9/1/3/tjant-9-1-3.pdf
integral factor method
exponential Taylor method
advection¨Cdiffusion equation