کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4636918 1340730 2006 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A numerical solution of Burgers' equation based on least squares approximation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A numerical solution of Burgers' equation based on least squares approximation
چکیده انگلیسی
Burgers' equation which is one-dimensional non-linear partial differential equation was converted to p non-linear ordinary differential equations by using the method of discretization in time. Each of them was solved by the least squares method. For various values of viscosity at different time steps, the numerical solutions obtained were compared with the exact solutions. It was seen that both of them were in excellent agreement. While the exact solution was not available for viscosity smaller than 0.01, it was shown that mathematical structure of the equation for the obtained numerical solutions did not decay.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 176, Issue 1, 1 May 2006, Pages 270-279
نویسندگان
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