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High-order filtered schemes for first order time dependent linear and non-linear partial differential equations

Sahu, Smita

High-order filtered schemes for first order time dependent linear and non-linear partial differential equations Thumbnail


Authors

Smita Sahu



Abstract

This work is based on high-order “filtered scheme”. Recently filtered scheme has been introduced to solve some first order Hamilton–Jacobi equations. In this paper, we aim to solve some linear and non-linear partial differential equations by a high order filtered scheme. The proposed filtered scheme that is not monotone but still satisfies some ϵ-monotone property with a convergence result and with precise error estimate also has been proven. We will present filtration of different schemes for some linear and non-linear partial differential equations in several dimensions.

Citation

Sahu, S. (2018). High-order filtered schemes for first order time dependent linear and non-linear partial differential equations. Mathematics and Computers in Simulation, 147, 250-263. https://doi.org/10.1016/j.matcom.2017.05.009

Journal Article Type Article
Acceptance Date May 26, 2017
Online Publication Date Jun 20, 2017
Publication Date May 1, 2018
Deposit Date Jun 29, 2017
Publicly Available Date Jun 20, 2018
Journal Mathematics and Computers in Simulation
Print ISSN 0378-4754
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 147
Pages 250-263
DOI https://doi.org/10.1016/j.matcom.2017.05.009

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