A novel approach for multi dimensional fractional coupled Navier–Stokes equation

• S. Kumbinarasaiah ^[1]
  1. [1] Bangalore University

     Bangalore University

     India

     
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 80, Nº. 2, 2023, págs. 261-282
• Idioma: inglés
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• Resumen

  • This study proposed a new scheme called the Hermite wavelet method (HWM) to find the numerical solutions to the multidimensional fractional coupled Navier–Stokes equation (NSE). This approach is based on the Hermite wavelets approximation with collocation points. Here, we reduce the fractional NSE into a set of nonlinear algebraic equations involving Hermite wavelet unknown coefficients. Convergence analysis is explained through the theorems. Three examples are given to validate the proposed technique’s efficiency and discussed the comparison between the present method solutions with the exact solution. The obtained results are represented through graphs and tables for both integer and fractional order. These results disclose that the existing algorithm offers a better result.