کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4632511 | 1340647 | 2010 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage Classical Lie point symmetry analysis of nonlinear diffusion equations describing thermal energy storage](/preview/png/4632511.png)
چکیده انگلیسی
In this paper, we employed the linear transformation group approach to time dependent nonlinear diffusion equations describing thermal energy storage problem. Symmetry analysis of the governing equation resulted in admitted large Lie symmetry algebras for some special cases of the arbitrary constants and the source term. Some transformations that lead to equations with fewer arbitrary parameters are applied and classical Lie point symmetry methods are employed to analyze the transformed equations. Some symmetry reductions are performed and wherever possible the reduced ordinary differential equations are completely solved subject to realistic boundary conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 1, 1 March 2010, Pages 251-260
Journal: Applied Mathematics and Computation - Volume 216, Issue 1, 1 March 2010, Pages 251-260
نویسندگان
R.J. Moitsheki, O.D. Makinde,