A new numerical scheme for third-order singularly Emden–Fowler equations using quintic B-spline function. Issue 12 (2nd December 2021)

• Record Type: Journal Article
• Authors: Lin, Bin
• Is Part Of: International journal of computer mathematics. Volume 98:Issue 12(2021)
• Page Start: 2406
• Page End: 2422
• Publication Date: 2021-12-02
• Subjects: Singular Emden–Fowler problem -- quintic B-spline -- error analysis -- stability -- convergence; 65M22 -- 65M70; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2021.1900566
• Languages: English
• ISSNs: 0020-7160

Abstract

Abstract : In this paper, we investigate a numerical scheme for the singular Emden–Fowler problem using quintic B-spline. We eliminate the singularity of the problem according to Lopita's law and obtain a new high-precision solution through a linear combination of the original solutions. We theoretically analyse the stability, truncation errors and convergence of the scheme and also verify it through several numerical experiments. We also provide some numerical examples to prove the efficiency of this numerical scheme and compare it with some earlier work done.