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Keywords: Conservation
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Journal Articles
International Journal of Numerical Methods for Heat & Fluid Flow (2020) 30 (11): 4735–4763.
Published: 21 February 2020
...J.I. Ramos Purpose The purpose of this study is to develop a new method of lines for one-dimensional (1D) advection-reaction-diffusion (ADR) equations that is conservative and provides piecewise analytical solutions in space, compare it with other finite-difference discretizations and assess...
Journal Articles
International Journal of Numerical Methods for Heat & Fluid Flow (2019) 29 (11): 4093–4129.
Published: 17 October 2019
...J.I. Ramos Purpose The purpose of this paper is to develop a new transversal method of lines for one-dimensional reaction – diffusion equations that is conservative and provides piecewise–analytical solutions in space, analyze its truncation errors and linear stability, compare it with other...
