کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1706393 | 1012458 | 2011 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solution of the nonlinear fractional diffusion equation with absorbent term and external force
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Solution of the nonlinear fractional diffusion equation with absorbent term and external force Solution of the nonlinear fractional diffusion equation with absorbent term and external force](/preview/png/1706393.png)
چکیده انگلیسی
The article presents the approximate analytical solutions of general nonlinear diffusion equation with fractional time derivative in the presence of an absorbent term and a linear external force obtained with the help of powerful mathematical tool like Homotopy Perturbation Method. By using initial value, the approximate analytical solutions of the equation are derived. The fractional derivatives are described in the Caputo sense. Numerical results for different particular cases are presented graphically. The anomalous behavior of nonlinear diffusivity in the presence or absence of external force and reaction term are calculated numerically and presented graphically.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 35, Issue 8, August 2011, Pages 3970–3979
Journal: Applied Mathematical Modelling - Volume 35, Issue 8, August 2011, Pages 3970–3979
نویسندگان
S. Das, K. Vishal, P.K. Gupta,