کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9509599 | 1341406 | 2005 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A numerical scheme based on a solution of nonlinear advection-diffusion equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A mathematical formulation of the two-dimensional Cole-Hopf transformation is investigated in detail. By making use of the Cole-Hopf transformation, a nonlinear two-dimensional unsteady advection-diffusion equation is transformed into a linear equation, and the transformed equation is solved by the spectral method previously proposed by one of the authors. Thus a solution to initial value problems of nonlinear two-dimensional unsteady advection-diffusion equations is derived. On the base of the solution, a numerical scheme explicit with respect to time is presented for nonlinear advection-diffusion equations. Numerical experiments show that the present scheme possesses the total variation diminishing properties and gives solutions with good quality.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 173, Issue 1, 1 January 2005, Pages 39-55
Journal: Journal of Computational and Applied Mathematics - Volume 173, Issue 1, 1 January 2005, Pages 39-55
نویسندگان
Katsuhiro Sakai, Isao Kimura,