کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
815766 | 906418 | 2015 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Application of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Application of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs Application of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs](/preview/png/815766.png)
چکیده انگلیسی
This article contributes a numerical scheme for finding approximate solutions of one-dimensional parabolic partial differential equations (PDEs) under non-classical boundary conditions. This scheme is based on the direct Chebyshev collocation method that has been frequently used for problems of ordinary differential equations (ODEs). In fact, the approximate solution of the problem in the truncated Chebyshev series form is obtained by this method. By substituting Chebyshev series solution into the considered problems and by using the matrix operations and the collocation points, the suggested scheme reduces the problems into the associated linear algebraic systems. By solving this system of equations, the unknown Chebyshev coefficients can be determined. To show the accuracy and the efficiency of the method, two numerical examples are implemented and the comparisons are given by a new collocation method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Ain Shams Engineering Journal - Volume 6, Issue 1, March 2015, Pages 373-379
Journal: Ain Shams Engineering Journal - Volume 6, Issue 1, March 2015, Pages 373-379
نویسندگان
Emran Tohidi,