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High-order Compact Difference Schemes and Adaptive Method for Singular Degenerate Diffusion-Reaction Equations
GE Yongbin, CAI Zhiquan
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2017, 34 (3):
309-319.
We established a high-order compact scheme on nonuniform grids for singular degenerate diffusion reaction equation. The scheme is second order accuracy in time and third to fourth order accuracy in space. A grid adaptive method is established by using equidistribution principle. Finally,a numerical example with exact solution validates reliability and accuracy of the method. One-dimentional blow up problem was solved with the method.
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