Hashemi, Mir SajjadAkgul, AliInc, MustafaMustafa, Idrees SedeeqBaleanu, Dumitru2024-12-242024-12-2420172227-7390https://doi.org/10.3390/math5040077https://hdl.handle.net/20.500.12604/8240We apply the reproducing kernel method and group preserving scheme for investigating the Lane-Emden equation. The reproducing kernel method is implemented by the useful reproducing kernel functions and the numerical approximations are given. These approximations demonstrate the preciseness of the investigated techniques.eninfo:eu-repo/semantics/openAccessLane-Emden equationgroup preserving schemereproducing kernel functionsapproximate solutionsArticle54N/AWOS:000424138400031Q12-s2.0-8503774118810.3390/math5040077