Numerical analysis of a two-parameter fractional telegraph equation

• Autores: Neville J. Ford, M. Manuela Rodrigues, Jingyu Xiao, Yubin Yan
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 249, Nº 1, 2013, págs. 95-106
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.02.009
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• Resumen

  • In this paper we consider the two-parameter fractional telegraph equation of the form .CD�¿+1 t+ 0 u(t, x) + CD�À+1 x+ 0 u(t, x) . CD�¿ t+ 0 u(t, x) . u(t, x) = 0.

    Here CD�¿ t+ 0 , CD�¿+1 t+ 0 , CD�À+1 x+ 0 are operators of the Caputo-type fractional derivative, where 0 .

    �¿ < 1 and 0 . �À < 1. A numerical method is introduced to solve this fractional telegraph equation and stability conditions for the numerical method are obtained. Numerical examples are given in the final section of the paper.