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.
The primary focus of the present paper will be the study of the exact first integral of a Lane–Emden equation of the second kind modeling a thermal explosion in a rectangular slab. Such results generalize those of Harley and Momoniat [Harley, C., Momoniat, E., 2008. J. Math. Anal. Appl. 344, 757–764], in which first integrals up to order ϵ were considered for the model. In particular, our results...
In this Letter, we present analytical solutions to the Lane–Emden equation y″(x)+2xy′(x)+f(y)=0 describing the thermal behavior of a spherical cloud of gas acting under the mutual attraction of its molecules. Solutions are obtained by using the traditional power series approach and by using the Homotopy Analysis Method (HAM). We show that the series solutions obtained by the Homotopy Analysis Method...
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.