Iterative solution for nonlinear impulsive advection- reaction-diffusion equations

Hao, X.; Liu, Lishan; Wu, Yong Hong

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Authors

Hao, X.

Liu, Lishan

Wu, Yong Hong

Date

2016

Type

Journal Article

Metadata

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Citation

Hao, X. and Liu, L. and Wu, Y.H. 2016. Iterative solution for nonlinear impulsive advection- reaction-diffusion equations. Journal of Nonlinear Science and Applications. 9 (6): pp. 4070-4077.

Source Title

Journal of Nonlinear Science and Applications

ISSN

2008-1898

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/52449

Collection

Curtin Research Publications

Abstract

© 2016 All rights reserved.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.