Abstract
A time-splitting method for nonlinear advection-diffusion-reaction equations is formulated and analyzed. The nonlinear advection-reaction part of the problem is solved using a new generalized nonstandard method based on a Lagrangian formulation and a linearizing map. The diffusion part is handled with standard finite difference schemes. This approach leads to significant qualitative improvements in the behavior of the numerical solutions. © Springer-Verlag 2004.
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CITATION STYLE
Kojouharov, H. V., & Welfert, B. D. (2004). Generalized nonstandard numerical methods for nonlinear advection-diffusion-reaction equations. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2907, 465–472. https://doi.org/10.1007/978-3-540-24588-9_53
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