کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6891791 1445340 2018 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytical and numerical solutions for the nonlinear Burgers and advection-diffusion equations by using a semi-analytical iterative method
ترجمه فارسی عنوان
راه حل های تحلیلی و عددی برای معادلات غیر خطی برگر و معادله نفوذ با استفاده از روش تکراری نیمه تحلیلی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی
In this paper, exact solutions have been obtained for 1D, 2D and 3D nonlinear Burgers' equations and systems of equations by implementing an accurate semi-analytical method. This method, originally proposed by Temimi and Ansari and herein named TAM, proved to be efficient and reliable for solving different types of linear and nonlinear problems. This method is characterized by not requiring any restrictive assumptions for the nonlinear terms. The convergence of the method is successfully presented and mathematically proved. In addition, the advection-diffusion equation is also solved by using the TAM to demonstrate the efficiency of this method. Several examples are solved either analytically or numerically, where the accuracy of the numerical solution has been demonstrated by evaluating the absolute and relative errors to show the accuracy of the proposed method. The software used in the current work is Mathematica®10.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 76, Issue 1, 1 July 2018, Pages 155-171
نویسندگان
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