Fractal Cubic Spline Methods for Singular Boundary-Value Problems

被引：0
|
作者：
Balasubramani N. [1 ]
Prasad M.G.P. [1 ]
Natesan S. [1 ]
机构：
[1] Department of Mathematics, Indian Institute of Technology Guwahati, Guwahati, 781039, Assam
来源：
International Journal of Applied and Computational Mathematics | 2020年 / 6卷 / 2期
关键词：
Error analysis; Fractal cubic spline; Quasilinearization; Singular boundary-value problem;
D O I：
10.1007/s40819-020-0797-6
中图分类号：
学科分类号：
摘要：
In this article, we propose a new numerical method based on fractal cubic spline for the numerical approximate solutions of linear and nonlinear singular two-point boundary-value problems. Error analysis of the proposed method is examined and it is shown that proposed method has second-order convergence. Numerical examples are provided to validate the theoretical results. © 2020, Springer Nature India Private Limited.
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