A fast collocation algorithm for solving the time fractional heat equation

• Mohamed El-Gamel ^[1] ; Mahmoud Abd El-Hady ^[1]
  1. [1] Mansoura University

     Mansoura University

     Egipto

     
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 78, Nº. 4, 2021, págs. 501-513
• Idioma: inglés
• DOI: 10.1007/s40324-021-00245-2
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper, a fast collocation algorithm is developed for solving the time fractional heat equation with the nonlocal condition. For this purpose, we employ orthogonal Jacobi polynomials as the basis. Numerical experiments are presented to illustrate the efficiency, and accuracy of the proposed algorithm. Also, comparisons with some other existing methods are made to confirm the reliability of the algorithm.