Direct versus iterative methods for forward-backward diffusion equations. Numerical comparisons
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Abstract
By far, the standard implementation of finite difference schemes for forward–backward partial differential equations consists in employing an iterative method. This paper collects a series of numerical results which demonstrate that a direct implementation can reduce the computing time. An effective way of choosing the seed for the iterative method naturally arises.
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This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s40324-020-00236-9
Bibliographic citation
López Pouso, Ó., & Jumaniyazov, N. (2021). Direct versus iterative methods for forward-backward diffusion equations. Numerical comparisons. SeMA Journal, 78(3), 271-286. https://doi.org/10.1007/S40324-020-00236-9
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https://doi.org/10.1007/s40324-020-00236-9Sponsors
This work was co-financed by the European Regional Development Fund (ERDF) and the Xunta de Galicia under the GRC2013-014 grant, and by the Spanish Ministry of Science, Innovation and Universities under the MTM2017-86459-R grant.
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Attribution-NonCommercial-NoDerivatives 4.0 International