کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
471541 | 698642 | 2015 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations Two alternating direction implicit difference schemes with the extrapolation method for the two-dimensional distributed-order differential equations](/preview/png/471541.png)
چکیده انگلیسی
The Grünwald formula is used to solve the two-dimensional distributed-order differential equations. Two alternating direction implicit (ADI) difference schemes are derived. It is proved that the schemes are unconditionally stable and convergent with the convergence orders O(τ+h12+h22+Δα2) and O(τ+h14+h24+Δα4) in H1H1 norm, respectively, where τ,h1,h2τ,h1,h2 and ΔαΔα are the step sizes in time, space in xx- and yy-direction, and distributed order. The extrapolation method is applied to improve the approximate accuracy to the orders O(τ2∣lnτ∣2+h12+h22+Δα2) and O(τ2∣lnτ∣2+h14+h24+Δα4), respectively. Several numerical examples are given to confirm the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 69, Issue 9, May 2015, Pages 926–948
Journal: Computers & Mathematics with Applications - Volume 69, Issue 9, May 2015, Pages 926–948
نویسندگان
Guang-hua Gao, Zhi-zhong Sun,