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.
Citation
Fengyan Wu. Qiong Wang. Xiujun Cheng. Xiaoli Chen. "Linear -Method and Compact -Method for Generalised Reaction-Diffusion Equation with Delay." Int. J. Differ. Equ. 2018 (SI2) 1 - 13, 2018. https://doi.org/10.1155/2018/6402576