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Volume 29, Issue 2
A Predictor Modification to the EBDF Method for Stiff Systems

Elisabete Alberdi & Juan José Anza

DOI: 10.4208/jcm.1009-m3137

J. Comp. Math., 29 (2011), pp. 199-214.

Published online: 2011-04

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  • Abstract

In this paper we modify the EBDF method using the NDFs as predictors instead of BDFs. This modification, that we call ENDF, implies the local truncation error being smaller than in the EBDF method without losing too much stability. We will also introduce two more changes, called ENBDF and EBNDF methods. In the first one, the NDF method is used as the first predictor and the BDF as the second predictor. In the EBNDF, the BDF is the first predictor and the NDF is the second one. In both modifications the local truncation error is smaller than in the EBDF. Moreover, the EBNDF method has a larger stability region than the EBDF.

  • Keywords

Backward differentiation formula (BDF), EBDF, Predictor, Stability, Stiff systems.

  • AMS Subject Headings

65L05.

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{JCM-29-199, author = {Alberdi , Elisabete and Anza , Juan José}, title = {A Predictor Modification to the EBDF Method for Stiff Systems}, journal = {Journal of Computational Mathematics}, year = {2011}, volume = {29}, number = {2}, pages = {199--214}, abstract = {

In this paper we modify the EBDF method using the NDFs as predictors instead of BDFs. This modification, that we call ENDF, implies the local truncation error being smaller than in the EBDF method without losing too much stability. We will also introduce two more changes, called ENBDF and EBNDF methods. In the first one, the NDF method is used as the first predictor and the BDF as the second predictor. In the EBNDF, the BDF is the first predictor and the NDF is the second one. In both modifications the local truncation error is smaller than in the EBDF. Moreover, the EBNDF method has a larger stability region than the EBDF.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1009-m3137}, url = {http://global-sci.org/intro/article_detail/jcm/8473.html} }
TY - JOUR T1 - A Predictor Modification to the EBDF Method for Stiff Systems AU - Alberdi , Elisabete AU - Anza , Juan José JO - Journal of Computational Mathematics VL - 2 SP - 199 EP - 214 PY - 2011 DA - 2011/04 SN - 29 DO - http://doi.org/10.4208/jcm.1009-m3137 UR - https://global-sci.org/intro/article_detail/jcm/8473.html KW - Backward differentiation formula (BDF), EBDF, Predictor, Stability, Stiff systems. AB -

In this paper we modify the EBDF method using the NDFs as predictors instead of BDFs. This modification, that we call ENDF, implies the local truncation error being smaller than in the EBDF method without losing too much stability. We will also introduce two more changes, called ENBDF and EBNDF methods. In the first one, the NDF method is used as the first predictor and the BDF as the second predictor. In the EBNDF, the BDF is the first predictor and the NDF is the second one. In both modifications the local truncation error is smaller than in the EBDF. Moreover, the EBNDF method has a larger stability region than the EBDF.

Elisabete Alberdi & Juan José Anza. (1970). A Predictor Modification to the EBDF Method for Stiff Systems. Journal of Computational Mathematics. 29 (2). 199-214. doi:10.4208/jcm.1009-m3137
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