Application of Vieta-Lucas Series to Solve a Class of Multi-Pantograph Delay Differential Equations with Singularity
SYMMETRY-BASEL, vol.13, no.12, 2021 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 13 Issue: 12
- Publication Date: 2021
- Doi Number: 10.3390/sym13122370
- Journal Name: SYMMETRY-BASEL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Keywords: collocation method, error analysis, multi-pantograph delay differential equations, singularity, Vieta-Lucas functions, LANE-EMDEN, MODEL, APPROXIMATION, BRATU
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
The main focus of this paper was to find the approximate solution of a class of second-order multi-pantograph delay differential equations with singularity. We used the shifted version of Vieta-Lucas polynomials with some symmetries as the main base to develop a collocation approach for solving the aforementioned differential equations. Moreover, an error bound of the present approach by using the maximum norm was computed and an error estimation technique based on the residual function is presented. Finally, the validity and applicability of the presented collocation scheme are shown via four numerical test examples.