Solving nonlinear parabolic PDEs via extended hybrid BDF methods

Moosa Ebadi () and M. Y. Gokhale ()
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Moosa Ebadi: Islamic Azad University, Parand Branch
M. Y. Gokhale: M.I.T. College

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 3, 395-412

Abstract: Abstract 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.

Keywords: HBDF; MEBDF; general multistep methods; MOL; A-stability; Nsoli.m (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0070-y

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