Non-Fickian delay reaction–diffusion equations: Theoretical and numerical study☆

Non-Fickian delay reaction–diffusion equations: Theoretical and numerical study☆: "Publication year: 2010
Source: Applied Numerical Mathematics, In Press, Accepted Manuscript, Available online 13 February 2010
J.R., Branco , J.A., Ferreira , P., da Silva
The Fisher's equation is established combining the Fick's law for the flux and the mass conservation law with a reaction term evaluated at the present time. If this term depends on the solution at some past time, a delay parameter is introduced and the delay Fisher's equation is obtained. Modifying the Fick's law for the flux considering a time memory term, integro-differential equations of Volterra type are established.In this paper we study reaction–diffusion equations obtained combining the two modifications: a time memory term in the flux and a delay parameter in the reaction term. The delay integro-differential equations also known..."