Solving third-order Lane-Emden-Fowler equations using a variable stepsize formulation of a pair of block methods

被引：12
作者：
Rufai, Mufutau Ajani [1 ]
Ramos, Higinio [2 ,3 ]
机构：
[1] Univ Bari Aldo Moro, Dipartimento Matemat, I-70125 Bari, Italy
[2] Univ Salamanca, Sci Comp Grp, Plaza Merced, Salamanca 37008, Spain
[3] Escuela Politecn Super Zamora, Campus Viriato, Zamora 49022, Spain
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 420卷
关键词：
Hybrid block method; Singular initial value problems; Lane-Emden-Fowler problems; Starting procedure; Variable step size formulation; ADOMIAN DECOMPOSITION METHOD; BOUNDARY-VALUE-PROBLEMS;
D O I：
10.1016/j.cam.2022.114776
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This manuscript presents a variable stepsize formulation of a pair of block methods to efficiently solve third-order IVP models of Lane-Emden-Fowler type equations. The main method is obtained considering two intermediate points. This method combines an appropriate set of formulas for dealing with the singularity at the left endpoint t = 0. The proposed method is implemented in variable stepsize mode to ensure that the truncation error is kept within a specified tolerance. The results of the numerical experiments confirm the good performance of the variable stepsize implementation presented in this paper. (C) 2022 Elsevier B.V. All rights reserved.
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页数：13
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