Linear -Method and Compact -Method for Generalised Reaction-Diffusion Equation with Delay

Fengyan Wu, Qiong Wang, Xiujun Cheng and Xiaoli Chen

International Journal of Differential Equations, 2018, vol. 2018, 1-13

Abstract:

This paper is concerned with the analysis of the linear -method and compact -method for solving delay reaction-diffusion equation. Solvability, consistence, stability, and convergence of the two methods are studied. When , sufficient and necessary conditions are given to show that the two methods are asymptotically stable. When , the two methods are proven to be unconditionally asymptotically stable. Finally, several examples are carried out to confirm the theoretical results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:6402576

DOI: 10.1155/2018/6402576

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