Numerical approximation of distributed order reaction-diffusion equations

• Autores: M. L. Morgado, Magda Rebelo
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 275, Nº 1, 2015, págs. 216-227
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.07.029
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• Resumen

  • In this paper an implicit scheme for the numerical approximation of the distributed order time-fractional reaction�diffusion equation with a nonlinear source term is presented. The stability and the convergence order of the numerical scheme are analysed and illustrated through some numerical examples.