Iterative solution for nonlinear impulsive advection- reaction-diffusion equations | Zendy

Xinan Hao | Zendy; Lishan Liu | Zendy; Yonghong Wu | Zendy

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Iterative solution for nonlinear impulsive advection- reaction-diffusion equations

Author(s) -

Xinan Hao,

Lishan Liu,

Yonghong Wu

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.06.50

Subject(s) - mathematics , advection , reaction–diffusion system , nonlinear system , mathematical analysis , diffusion , iterative method , mathematical optimization , thermodynamics , physics , quantum mechanics

Through solving equations step by step and by using the generalized Banach fixed point theorem, under simple conditions, the authors present the existence and uniqueness theorem of the iterative solution for nonlinear advection-reaction-diffusion equations with impulsive effects. An explicit iterative scheme for the solution is also derived. The results obtained generalize and improve some known results. c ©2016 All rights reserved.

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