کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643090 1341367 2006 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the group classification of variable-coefficient nonlinear diffusion–convection equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the group classification of variable-coefficient nonlinear diffusion–convection equations
چکیده انگلیسی

We consider the variable coefficient diffusion–convection equation of the form f(x)ut=[g(x)D(u)ux]x+h(x)K(u)uxf(x)ut=[g(x)D(u)ux]x+h(x)K(u)ux which has considerable interest in mathematical physics, biology and chemistry. We present a complete group classification for this class of equations. Also we derive equivalence transformations between equations that admit Lie symmetries. Furthermore, we obtain mappings that connect variable and constant coefficient equations. Exact solutions of special forms of this equations are constructed using Lie symmetries and equivalence transformations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 197, Issue 2, 15 December 2006, Pages 322–344
نویسندگان
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