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• W575012716 abstract "In this paper, a high-order compact alternating direction implicit (HOC ADI) method, which combines fourth-order compact difference approximation to spatial derivatives and second order backward differentiation formula (BDF2) for temporal integration, is derived for nonlinear delay reaction–diffusion equations. By the discrete energy method, its optimal error estimates in L2- and H1-norms are constructively obtained. Then, a class of Richardson extrapolation algorithms (REAs) are established to improve computational efficiency. Besides, a modified HOC ADI solver is devised to reduce time cost as delay is very small. Numerical results confirm the theoretical results and performance of our algorithms." @default.
• W575012716 created "2016-06-24" @default.
• W575012716 creator A5050065253 @default.
• W575012716 date "2015-10-01" @default.
• W575012716 modified "2023-09-25" @default.
• W575012716 title "The study of a fourth-order multistep ADI method applied to nonlinear delay reaction–diffusion equations" @default.
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• W575012716 doi "https://doi.org/10.1016/j.apnum.2015.05.007" @default.
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