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.
Doostaki, R., Hosseini, M., & Salemi, A. (2024). An efficient high-order compact finite difference scheme for Lane-Emden-type equations. Computational Methods for Differential Equations, 13(1), 107-122. doi: 10.22034/cmde.2023.56275.2351
MLA
Reza Doostaki; Mohammad Mehdi Hosseini; Abbas Salemi. "An efficient high-order compact finite difference scheme for Lane-Emden-type equations". Computational Methods for Differential Equations, 13, 1, 2024, 107-122. doi: 10.22034/cmde.2023.56275.2351
HARVARD
Doostaki, R., Hosseini, M., Salemi, A. (2024). 'An efficient high-order compact finite difference scheme for Lane-Emden-type equations', Computational Methods for Differential Equations, 13(1), pp. 107-122. doi: 10.22034/cmde.2023.56275.2351
VANCOUVER
Doostaki, R., Hosseini, M., Salemi, A. An efficient high-order compact finite difference scheme for Lane-Emden-type equations. Computational Methods for Differential Equations, 2024; 13(1): 107-122. doi: 10.22034/cmde.2023.56275.2351
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