Semi-implicit schemes with multilevel wavelet-like incremental unknowns for solving reaction diffusion equation
WU, Yu-Jiang ; JIA, Xing-Xing ; SHE, An-Long
Hokkaido Math. J., Tome 36 (2007) no. 4, p. 711-728 / Harvested from Project Euclid
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Our aim in this paper is to present two types of emi-implicit schemes based on multilevel wavelet-like incremental unknowns (WIU) for solving a one-dimensional reaction-diffusion equation with a polynomial growth nonlinearity. The stability of schemes is proved which also shows the advantage over explicit and implicit schemes in the same conceptual framework of multilevel WIU. Numerical examples are provided to test the efficiency of the new schemes.
Publié le : 2007-11-15
Classification:  Wavelet-like incremental unknowns,  reaction-diffusion equation,  nonlinear Galerkin method,  semi-implicit schemes,  35K55,  65P40,  65M12,  65M06 
@article{1272848029,
     author = {WU, Yu-Jiang and JIA, Xing-Xing and SHE, An-Long},
     title = {Semi-implicit schemes with multilevel wavelet-like incremental unknowns for solving reaction diffusion equation},
     journal = {Hokkaido Math. J.},
     volume = {36},
     number = {4},
     year = {2007},
     pages = { 711-728},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1272848029}
}

WU, Yu-Jiang; JIA, Xing-Xing; SHE, An-Long. Semi-implicit schemes with multilevel wavelet-like incremental unknowns for solving reaction diffusion equation. Hokkaido Math. J., Tome 36 (2007) no. 4, pp.  711-728. http://gdmltest.u-ga.fr/item/1272848029/