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 is needed. Then the proposed method is developed for solving the system of linear and nonlinear Lane-Emden equations. Some numerical examples are provided, and 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, (), -. 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, , , 2024, -. 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, (), pp. -. 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; (): -. doi: 10.22034/cmde.2023.56275.2351
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