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A Strongly A-Stable Time Integration Method for Solving the Nonlinear Reaction-Diffusion Equation
2015
Abstract and Applied Analysis
The semidiscrete ordinary differential equation (ODE) system resulting from compact higher-order finite difference spatial discretization of a nonlinear parabolic partial differential equation, for instance, the reaction-diffusion equation, is highly stiff. Therefore numerical time integration methods with stiff stability such as implicit Runge-Kutta methods and implicit multistep methods are required to solve the large-scale stiff ODE system. However those methods are computationally
doi:10.1155/2015/539652
fatcat:h6dnhb6cczduzkxg2i7la6g5hu