An efficient linear numerical scheme for the Stefan problem, the porous medium equation and nonlinear cross-diffusion systems

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dc.contributor.authorMolati, M.
dc.contributor.authorMurakawa, H.
dc.date.accessioned2020-11-02T09:32:55Z
dc.date.available2020-11-02T09:32:55Z
dc.date.issued2017-12-29
dc.description.abstractThis paper deals with nonlinear diffusion problems which include the Stefan problem, the porous medium equation and cross-diffusion systems. We provide a linear scheme for these nonlinear diffusion problems. The proposed numerical scheme has many advantages, namely, it is very easy-to-implement, the ensuing linear algebraic systems are symmetric, it requires low computational cost, the accuracy is comparable to that of the well-studied nonlinear schemes, the computation is much faster than the nonlinear schemes to obtain the same level of accuracy. In this paper, numerical experiments are carried out to demonstrate efficiency of the proposed scheme.en_ZA
dc.identifier.citationMolati, M., & Murakawa, H. (2017). An efficient linear numerical scheme for the Stefan problem, the porous medium equation and nonlinear cross-diffusion systems. Proceedings Of Equadiff 2017 Conference, , 305-314. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/793/579en_ZA
dc.identifier.isbn978‐80‐227‐4757‐8
dc.identifier.urihttp://www.iam.fmph.uniba.sk/amuc/ojs/index.php/equadiff/article/view/793/579
dc.identifier.urihttps://repository.tml.nul.ls/handle/20.500.14155/1458
dc.language.isoenen_ZA
dc.publisherSPEKTRUM STU Publishingen_ZA
dc.rightsSPEKTRUM STU Publishingen_ZA
dc.sourceProceedings of Equadiff 2017 Conferenceen_ZA
dc.titleAn efficient linear numerical scheme for the Stefan problem, the porous medium equation and nonlinear cross-diffusion systemsen_ZA
dc.typeConferencepaperen_ZA
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