کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11003754 | 1462578 | 2019 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Symmetry properties, conservation laws, reduction and numerical approximations of time-fractional cylindrical-Burgers equation
ترجمه فارسی عنوان
خواص متقارن، قوانین حفاظت، کاهش و تقریب عددی معادله استوانه-برگر معادله زمان
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
چکیده انگلیسی
In this paper the Lie group analysis of the time-fractional cylindrical Burgers equation (time-FCB), which is a fundamental PDE occurring in various areas of applied mathematics, such as fluid mechanics, non-linear acoustics, gas dynamics, traffic flow and etc. is given. For this purpose the Riemann-Liouville derivative is used to implement the Lie algorithm for finding the symmetry operators. A reduced form of the equation is given by using the similarity variables obtained from a symmetry and Erdelyi-Kober operator. In the next step conservation laws are derived via a generalization of Noether's theorem. Finally the Chebyshev wavelets for time-fractional differential equations (FDEs) is applied for solving the considered equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 67, February 2019, Pages 176-191
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 67, February 2019, Pages 176-191
نویسندگان
Elham Lashkarian, S. Reza Hejazi, Noora Habibi, Ahmad Motamednezhad,