کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632370 1340643 2010 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical solution of the Burgers' equation by automatic differentiation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical solution of the Burgers' equation by automatic differentiation
چکیده انگلیسی
We compute the solution of the one-dimensional Burgers' equation by marching the solution in time using a Taylor series expansion. Our approach does not require symbolic manipulation and does not involve the solution of a system of linear or non-linear algebraic equations. Instead, we use recursive formulas obtained from the differential equation to calculate exact values of the derivatives needed in the Taylor series. We illustrate the effectiveness of our method by solving four test problems with known exact solutions. The numerical solutions we obtain are in excellent agreement with the exact solutions, while being superior to other previously reported numerical solutions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 9, 1 July 2010, Pages 2700-2708
نویسندگان
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