کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4643439 | 1632059 | 2006 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A posteriori error bounds for the approximate solution of second-order ODEs by piecewise coefficients perturbation methods
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A posteriori error bounds for the approximate solution of second-order ODEs by piecewise coefficients perturbation methods A posteriori error bounds for the approximate solution of second-order ODEs by piecewise coefficients perturbation methods](/preview/png/4643439.png)
چکیده انگلیسی
This paper presents a constructive approach to compute upper and lower bounds for the error committed when some second-order ordinary differential equations are solved by means of piecewise coefficients perturbation methods (PPM). The obtained error bounds are expressed in terms of perturbations introduced in the differential operator and in the prescribed initial conditions. The results are applied to collocation, tau and finite difference methods. Numerical examples demonstrating the sharpness of the constructed bounds are given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 189, Issues 1–2, 1 May 2006, Pages 51–66
Journal: Journal of Computational and Applied Mathematics - Volume 189, Issues 1–2, 1 May 2006, Pages 51–66
نویسندگان
Mohamed K. El-Daou,