Volume 31, Issue 2
The Integration of Stiff Systems of ODEs Using NDFs and MEBDFs

J. Comp. Math., 31 (2013), pp. 175-189.

Published online: 2013-04

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• Abstract

In this paper we modify the MEBDF method using the NDFs as predictors instead of the BDFs. We have done it in three different ways: changing both predictors of the MEBDF, changing only the first predictor and changing only the second one. We have called the new methods MENDF, MENBDF and MEBNDF respectively. The new methods are A-stable up to order $4$ and the stability properties of the new methods are better than the MEBDF method.

• Keywords

BDF NDF MEBDF Stiff ODEs Stability

• AMS Subject Headings

65L05.

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COPYRIGHT: © Global Science Press

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@Article{JCM-31-175, author = {Elisabete Alberdi Celaya and Juan José Anza}, title = {The Integration of Stiff Systems of ODEs Using NDFs and MEBDFs}, journal = {Journal of Computational Mathematics}, year = {2013}, volume = {31}, number = {2}, pages = {175--189}, abstract = {

In this paper we modify the MEBDF method using the NDFs as predictors instead of the BDFs. We have done it in three different ways: changing both predictors of the MEBDF, changing only the first predictor and changing only the second one. We have called the new methods MENDF, MENBDF and MEBNDF respectively. The new methods are A-stable up to order $4$ and the stability properties of the new methods are better than the MEBDF method.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1212-m3987}, url = {http://global-sci.org/intro/article_detail/jcm/9728.html} }
TY - JOUR T1 - The Integration of Stiff Systems of ODEs Using NDFs and MEBDFs AU - Elisabete Alberdi Celaya & Juan José Anza JO - Journal of Computational Mathematics VL - 2 SP - 175 EP - 189 PY - 2013 DA - 2013/04 SN - 31 DO - http://doi.org/10.4208/jcm.1212-m3987 UR - https://global-sci.org/intro/article_detail/jcm/9728.html KW - BDF KW - NDF KW - MEBDF KW - Stiff ODEs KW - Stability AB -

In this paper we modify the MEBDF method using the NDFs as predictors instead of the BDFs. We have done it in three different ways: changing both predictors of the MEBDF, changing only the first predictor and changing only the second one. We have called the new methods MENDF, MENBDF and MEBNDF respectively. The new methods are A-stable up to order $4$ and the stability properties of the new methods are better than the MEBDF method.

Elisabete Alberdi Celaya & Juan José Anza. (1970). The Integration of Stiff Systems of ODEs Using NDFs and MEBDFs. Journal of Computational Mathematics. 31 (2). 175-189. doi:10.4208/jcm.1212-m3987
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