کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775566 | 1631740 | 2018 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Compact θ-method for the generalized delay diffusion equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The generalized diffusion equation with a delay has inherent complex nature because its analytical solutions are hard to obtain. Therefore, one has to seek numerical methods, especially the high-order accurate ones, for their approximate solutions. In this paper, we have established the results of the numerical asymptotic stability of the compact θ-method for the generalized delay diffusion equation. It shows that the compact θ-method is asymptotically stable if and only if (k+r)Îth2<10âcos(h)12(1+cos(h))(1â2θ) for θâ[0,12) and is unconditionally asymptotically stable for θâ[12,1], respectively. The convergent results in the maximum norm are studied according to the consistency analysis and Lax theorem. In the end, a series of numerical tests on stability and convergence are carried out to support our theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 316, 1 January 2018, Pages 357-369
Journal: Applied Mathematics and Computation - Volume 316, 1 January 2018, Pages 357-369
نویسندگان
Qifeng Zhang, Mengzhe Chen, Yinghong Xu, Dinghua Xu,