@article { author = {Bisheh-Niasar, Morteza}, title = {A Computational Method for Solving the Lane-Emden Initial Value Problems}, journal = {Computational Methods for Differential Equations}, volume = {8}, number = {4}, pages = {673-684}, year = {2020}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {10.22034/cmde.2020.31901.1488}, abstract = {In this work, we propose an efficient numerical algorithm based upon compact finite difference to solve Lane-Emden equations which are nonlinear ordinary differential equations. The presented method reduces the solution of Lane-Emden equations to the solution of a nonlinear system of equations. The numerical experiments show the accuracy and efficiency of this method.}, keywords = {Lane-Emden equation,singular IVPs,Compact finite difference}, url = {https://cmde.tabrizu.ac.ir/article_9930.html}, eprint = {https://cmde.tabrizu.ac.ir/article_9930_06c11b059c9f6a3c86e2fa5b9558c373.pdf} }