Abstract
An optimized finite difference (FD) extrapolated scheme for the two-dimensional (2D) integro-differential equation of parabolic type is established by means of the proper orthogonal decomposition (POD) technique. The stability and error estimates of the optimized FD extrapolated solutions are provided and a numerical example is presented to explain the correction of the theoretical results and the superiority of the optimized FD extrapolated scheme.
Citation
Zhendong Luo. "An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type." J. Integral Equations Applications 32 (1) 35 - 50, Spring 2020. https://doi.org/10.1216/JIE.2020.32.35
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