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math.NA2025
A second-order generalized BDF method for the two-dimensional (modified) Fisher-Kolmogorov-Petrovsky-Piskunov equation
Lei Ge, Yong-Liang Zhao, Qian-Yu Shu
The Kolmogorov-Petrovsky-Piskunov (Fisher-KPP) equation is a classical reaction-diffusion equation with broad applications such as biology, chemistry and physics. In this paper, an…
math.NA2025
A direct PinT algorithm for higher-order nonlinear time-evolution equations
Shun-Zhi Zhong, Yong-Liang Zhao, Qian-Yu Shu
Higher-order nonlinear time-evolution equations have widespread applications in science and engineering, such as in solid mechanics, materials science, and fluid mechanics. This pa…