Novel efficient collocation method for Sturm–Liouville problems with nonlocal integral boundary conditions

• Mohamed El-Gamel ^[1] ; Mahmoud Abd El-Hady ^[1]
  1. [1] Universidad Mansoura
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 77, Nº. 4, 2020, págs. 375-388
• Idioma: inglés
• DOI: 10.1007/s40324-020-00220-3
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• Resumen

  • This paper presents a study of the performance of the collocation methods using sinc and Bernstein bases functions to determine the eigenvalues of Sturm–Liouville problems with nonlocal boundary conditions. The two methods have the linear systems solved by the Q-Z method. This study shows that Bernstein-collocation method performs better than the sinc-collocation method for the cases considered.