Exact Solutions of Diffusion-Convection Equations
Nataliya M. Ivanova
TL;DR
This paper compiles known exact solutions of various (1+1)-dimensional diffusion-convection equations, emphasizing Lie and non-Lie methods up to 2008, aiding researchers in understanding solution structures.
Contribution
It systematically gathers and presents known exact solutions of diffusion-convection equations, serving as a comprehensive reference for future research.
Findings
Collection of known exact solutions up to 2008
Includes both Lie and non-Lie solutions
Facilitates further analytical and numerical studies
Abstract
In the presented paper known (up to the beginning of 2008) Lie- and non-Lie exact solutions of different -dimensional diffusion-convection equations of form are collected.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Nonlinear Waves and Solitons · Nanofluid Flow and Heat Transfer