کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627168 | 1631802 | 2015 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Two boundedness and monotonicity preserving methods for a generalized Fisher-KPP equation
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Two boundedness and monotonicity preserving methods for a generalized Fisher-KPP equation Two boundedness and monotonicity preserving methods for a generalized Fisher-KPP equation](/preview/png/4627168.png)
چکیده انگلیسی
A semi-explicit finite difference method and an implicit finite difference method are proposed for a generalized Fisher-KPP equation with two space variables. It is proved that these two methods could preserve the skew-symmetry of this equation. Moreover, under a condition on the step sizes, the semi-explicit method is capable of preserving the positivity, the boundedness, and the spatial and temporal monotonicity of initial approximations. And the implicit method is able to preserve these properties with no restriction on the step sizes. The stability and convergence of these two methods are also analyzed respectively. Finally, some numerical simulations are provided to verify the validity of our analytical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 252, 1 February 2015, Pages 552-567
Journal: Applied Mathematics and Computation - Volume 252, 1 February 2015, Pages 552-567
نویسندگان
Wendi Qin, Deqiong Ding, Xiaohua Ding,