Application of Vieta-Lucas Series to Solve a Class of Multi-Pantograph Delay Differential Equations with Singularity

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Izadi M., Yuezbasi Ş., Ansari K. J.

SYMMETRY-BASEL, cilt.13, sa.12, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 12
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/sym13122370
  • Dergi Adı: SYMMETRY-BASEL
  • Derginin Tarandığı İndeksler: 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
  • Anahtar Kelimeler: collocation method, error analysis, multi-pantograph delay differential equations, singularity, Vieta-Lucas functions, LANE-EMDEN, MODEL, APPROXIMATION, BRATU
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.