کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4643558 1341386 2006 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A four-step trigonometric fitted P-stable Obrechkoff method for periodic initial-value problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A four-step trigonometric fitted P-stable Obrechkoff method for periodic initial-value problems
چکیده انگلیسی

In this paper, we present a new P-stable Obrechkoff four-step method, which greatly improves the performance of our previous Obrechkoff four-step method and extends its application range. By trigonometric fitting, we extend the interval of periodicity of the previous four-step method from about H2∼16H2∼16 to infinity and at the same time, we keep all its advantage in the accuracy and efficiency. We have tested the new method by four well-known problems, (1) the test-equation; (2) Stiefel and Bettis problem; (3) Duffing equation without damping; and (4) Bessel equation. The numerical results show that the new method is more accurate than any previous method. It also has great advantage in stability and efficiency.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 187, Issue 2, 15 March 2006, Pages 192–201
نویسندگان
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