کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4641319 | 1341304 | 2008 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems](/preview/png/4641319.png)
چکیده انگلیسی
A compact finite difference method with non-isotropic mesh is proposed for a two-dimensional fourth-order nonlinear elliptic boundary value problem. The existence and uniqueness of its solutions are investigated by the method of upper and lower solutions, without any requirement of the monotonicity of the nonlinear term. Three monotone and convergent iterations are provided for resolving the resulting discrete systems efficiently. The convergence and the fourth-order accuracy of the proposed method are proved. Numerical results demonstrate the high efficiency and advantages of this new approach.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 221, Issue 1, 1 November 2008, Pages 76–97
Journal: Journal of Computational and Applied Mathematics - Volume 221, Issue 1, 1 November 2008, Pages 76–97
نویسندگان
Yuan-Ming Wang, Ben-Yu Guo,