The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
In this paper the equation with periodical condition and small parameter is considered. The equation will lose boundary condition and lead to large oscillation in boundary layer. The properties of the equation is studied firstly. The analytical solution is decomposed into the smooth component and the singular component. The asymptotic solution is proposed secondly. The asymptotic solution is used...
Parabolic partial differential equation with periodical boundary value condition is considered. The equation also contains small parameter in x direction and different small parameter in t direction. The present of small parameter leads to boundary layer phenomena in both side of x direction and bottom side of t direction. The solution changes rapidly near three boundary layer. Left boundary layer...
Parabolic partial differential equation with small parameter in x direction and different small parameter in t direction is considered. This kind of problem leads to boundary layer phenomena in both side of x direction and bottom side of t direction. The analytical solution changes rapidly near three boundary layer. Firstly, the asymptotic solution with order one for all small parameter is studied...
Singularly perturbed ordinary differential equation with two small parameters is considered. Firstly, the solution is decomposed into the smooth component and the singular component. The upper bounds of the smooth component and the singular component are studied. Secondly, the traditional Shishkin's scheme is presented and it is proved to be uniformly convergent with respect to the small parameter...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.