Title of article
An efficient high-order compact finite difference scheme for Lane-Emden-type equations
Author/Authors
Doostaki ، Reza Department of Applied Mathematics - Faculty of Mathematics and Computer, Mahani Mathematical Research Center - Shahid Bahonar University of Kerman , Hosseini ، Mohammad Mehdi Department of Applied Mathematics - Faculty of Mathematics and Computer, Mahani Mathematical Research Center - Shahid Bahonar University of Kerman , Salemi ، Abbas Department of Applied Mathematics - Faculty of Mathematics and Computer, Mahani Mathematical Research Center - Shahid Bahonar University of Kerman
From page
107
To page
122
Abstract
In this paper, an efficient high-order compact finite difference (HOCFD) scheme is introduced for solving generalized Lane-Emden equations. For nonlinear types, it is shown that a combined quasilinearization and HOCFD scheme gives excellent results, while a few quasilinear iterations are needed. Then the proposed method is developed for solving the system of linear and nonlinear Lane-Emden equations. Some numerical examples are provided, and the obtained results of the proposed method are then compared with previous well-established methods. The numerical experiments show the accuracy and efficiency of the proposed method.
Keywords
Lane , Emden equations , Compact finite difference scheme , Quasilinearization method , High , order accuracy
Journal title
Computational Methods for Differential Equations
Journal title
Computational Methods for Differential Equations
Record number
2777710
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