کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
303663 | 512749 | 2012 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A fractional model of the diffusion equation and its analytical solution using Laplace transform
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی عمران و سازه
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A fractional model of the diffusion equation and its analytical solution using Laplace transform A fractional model of the diffusion equation and its analytical solution using Laplace transform](/preview/png/303663.png)
چکیده انگلیسی
In this study, the homotopy perturbation transform method (HPTM) is performed to give analytical solutions of the time fractional diffusion equation. The HPTM is a combined form of the Laplace transform and homotopy perturbation methods. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and accurate. These results reveal that the proposed method is very effective and simple in performing a solution to the fractional partial differential equation. A solution has been plotted for different values of αα., and some numerical illustrations are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Scientia Iranica - Volume 19, Issue 4, August 2012, Pages 1117–1123
Journal: Scientia Iranica - Volume 19, Issue 4, August 2012, Pages 1117–1123
نویسندگان
S. Kumar, A. Yildirim, Yasir Khan, L. Wei,