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.
Bisheh-Niasar, M. (2020). A Computational Method for Solving the Lane-Emden Initial Value Problems. Computational Methods for Differential Equations, 8(4), 673-684. doi: 10.22034/cmde.2020.31901.1488
MLA
Morteza Bisheh-Niasar. "A Computational Method for Solving the Lane-Emden Initial Value Problems". Computational Methods for Differential Equations, 8, 4, 2020, 673-684. doi: 10.22034/cmde.2020.31901.1488
HARVARD
Bisheh-Niasar, M. (2020). 'A Computational Method for Solving the Lane-Emden Initial Value Problems', Computational Methods for Differential Equations, 8(4), pp. 673-684. doi: 10.22034/cmde.2020.31901.1488
VANCOUVER
Bisheh-Niasar, M. A Computational Method for Solving the Lane-Emden Initial Value Problems. Computational Methods for Differential Equations, 2020; 8(4): 673-684. doi: 10.22034/cmde.2020.31901.1488
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