Numerical Solutions of Linear and Nonlinear Lane-Emden Type Equations Magnus Expansion Method

Kome, CahitAtay, Mehmet TarikEryilmaz, AytekinKome, SureSimos, TETsitouras, C2019-08-012019-08-012015978-0-7354-1287-30094-243Xhttps://dx.doi.org/10.1063/1.4912575https://hdl.handle.net/11480/4044International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) -- SEP 22-28, 2014 -- Rhodes, GREECEIn this paper, we study on the numerical solutions of linear and nonlinear singular initial value problems of Lane-Emden type with different orders of Magnus expansion method (MEM). The proposed method is different from other numerical techniques as it is based on lie groups and lie algebras. To show the efficiency of the method, we present approximate and exact values and also L-infinity error norms with detailed tables and figures.eninfo:eu-repo/semantics/closedAccessMagnus Expansion MethodLane-Emden equationGeometric integrationInitial value problemsNumerical Solutions of Linear and Nonlinear Lane-Emden Type Equations Magnus Expansion MethodConference Object164810.1063/1.49125752-s2.0-84939650124N/AWOS:000355339701126N/A