Finite Element Method for the Solution of a Time-Dependent Heat-Like Lane-Emden Equation

Authors : Mehmet Fatih Uçar

Pages : 258-261

Doi:10.32323/ujma.406335

View : 15 | Download : 5

Publication Date : 2018-12-20

Article Type : Research Paper

Abstract :In this study, finite element method insert ignore into journalissuearticles values(FEM); with Galerkin Formula is applied to find the numerical solution of a time-dependent heat-like Lane-Emden equation. An example is solved to assess the accuracy of the method. The numerical results are obtained for different values insert ignore into journalissuearticles values(n); of equation. The results indicate that Galerkin method is effectively implemented. It is seen that results are compatible with exact solutions and consistent with other existing numerical methods.
Keywords : Time dependent Lane Emden equation, Galerkin method, Heat type equation, Time dependent Lane Emden equation