کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4632812 | 1340654 | 2010 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical modelling of linear and nonlinear diffusion equations by compact finite difference method
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Numerical modelling of linear and nonlinear diffusion equations by compact finite difference method Numerical modelling of linear and nonlinear diffusion equations by compact finite difference method](/preview/png/4632812.png)
چکیده انگلیسی
In this work, accurate solutions to linear and nonlinear diffusion equations were introduced. A combination of a sixth-order compact finite difference scheme in space and a low-storage third-order total variation diminishing Runge–Kutta scheme in time have been used for treatment of these equations. The computed results with the use of this technique have been compared with the exact solution to show the accuracy of it. Here, the approximate solution to the diffusion equations has been obtained easily and elegantly with neither transforming nor linearizing the equation. The present method is seen to be a very good alternative method to some existing techniques for realistic problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 8, 15 June 2010, Pages 2472–2478
Journal: Applied Mathematics and Computation - Volume 216, Issue 8, 15 June 2010, Pages 2472–2478
نویسندگان
Gürhan Gürarslan,