The Legendre wavelet method for solving the steady flow of a third-grade fluid in a porous half space

• Simin Shekarpaz ^[1] ; Hossein Azari ^[1] ; Kourosh Parand ^[1]
  1. [1] Universidad de Shahid Beheshti
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 76, Nº. 3, 2019, págs. 495-503
• Idioma: inglés
• DOI: 10.1007/s40324-019-00188-9
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this study, based on the Legendre wavelet method, we will present a new efficient method to obtain the numerical solutions of a nonlinear ordinary differential equation arising in fluid dynamics. The Legendre wavelet collocation method (LWCM) will be used and problem is converted into a system of algebraic equations, where the solutions of obtained system are computed by using the Newton’s method. Finally some numerical examples are given to check the accuracy of proposed method and a comparison is made with the other methods which reflects the efficiency and capability of method.