Iterative solution for nonlinear impulsive advection- reaction-diffusion equations
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Authors
Xinan Hao
- School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, P. R. China.
Lishan Liu
- School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, P. R. China.
- Department of Mathematics and Statistics, Curtin University, Perth, WA6845, Australia.
Yonghong Wu
- Department of Mathematics and Statistics, Curtin University, Perth, WA6845, Australia.
Abstract
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.
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ISRP Style
Xinan Hao, Lishan Liu, Yonghong Wu, Iterative solution for nonlinear impulsive advection- reaction-diffusion equations, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4070--4077
AMA Style
Hao Xinan, Liu Lishan, Wu Yonghong, Iterative solution for nonlinear impulsive advection- reaction-diffusion equations. J. Nonlinear Sci. Appl. (2016); 9(6):4070--4077
Chicago/Turabian Style
Hao, Xinan, Liu, Lishan, Wu, Yonghong. "Iterative solution for nonlinear impulsive advection- reaction-diffusion equations." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4070--4077
Keywords
- Iterative solution
- nonlinear advection-reaction-diffusion equations
- impulse.
MSC
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