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Department of Mathematical Sciences

Staff

Publication details

Sahu, Smita (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.

Author(s) from Durham

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.