کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
474282 | 698858 | 2008 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A fourth-order compact finite difference method for higher-order Lidstone boundary value problems
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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: A fourth-order compact finite difference method for higher-order Lidstone boundary value problems A fourth-order compact finite difference method for higher-order Lidstone boundary value problems](/preview/png/474282.png)
چکیده انگلیسی
A compact finite difference method is proposed for a general class of 2n2nth-order Lidstone boundary value problems. The existence and uniqueness of the finite difference solution is investigated by the method of upper and lower solutions, without any monotone requirement on the nonlinear term. A monotone iteration process is provided for solving the resulting discrete system efficiently, and a simple and easily verified condition is obtained to guarantee a geometric convergence of the iterations. The convergence of the finite difference solution 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: Computers & Mathematics with Applications - Volume 56, Issue 2, July 2008, Pages 499–521
Journal: Computers & Mathematics with Applications - Volume 56, Issue 2, July 2008, Pages 499–521
نویسندگان
Yuan-Ming Wang, Hai-Yun Jiang, Ravi P. Agarwal,