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.
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