Non-Polynomial Spline Method for a Time-Dependent Heat-Like Lane- Emden Equation

S.H. Caglar, M.F. Ucar
2012 Acta Physica Polonica. A  
In this study, a time-dependent heat-like Lane-Emden equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different values (n) of equation. The results indicate that non-polynomial spline method is effectively implemented. It is seen that results are compatible with exact solutions and consistent with other existing numerical methods.
doi:10.12693/aphyspola.121.262 fatcat:qnjabvj5i5hhlgw6pm5eetxjii