Solving nonlinear parabolic PDEs via extended hybrid BDF methods

被引：0
作者：
Moosa Ebadi
M. Y. Gokhale
机构：
[1] Islamic Azad University,Department of Mathematics
[2] Parand Branch,Department of Mathematics
[3] M.I.T. College,undefined
来源：
Indian Journal of Pure and Applied Mathematics | 2014年 / 45卷
关键词：
HBDF; MEBDF; general multistep methods; MOL; A-stability; Nsoli.m;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The details of new methods based on backward differentiation formulas (BDF) for the MOL solution of one-dimensional nonlinear time dependent PDEs are presented. In these extended hybrid BDF methods, we say EHBDF, one additional stage point (or off-step point) together with one step point have been used in the first derivative of the solution. All presented methods, of order p, p = 2,3,..., 12, are A(α)-stable whereas they have wide stability regions comparing with those of some known methods such as BDF, extended BDF (EBDF) and modified EBDF (MEBDF) methods.
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页码：395 / 412
页数：17
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