کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
472688 | 698742 | 2011 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exponentially weighted Legendre–Gauss Tau methods for linear second-order differential equations
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We develop a method to solve a class of second-order ordinary differential equations with highly oscillatory solutions. The method consists in combining three different techniques: Legendre–Gauss spectral Tau method, exponential fitting, and coefficient perturbation methods. With our approach, the resulting approximate solutions are expressed in terms of an exponentially weighted Legendre polynomial basis {eωnxLn(x);n≥0}{eωnxLn(x);n≥0}, where ωnωn are appropriately chosen complex numbers. The accuracy and efficiency of the method are discussed and illustrated numerically.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 62, Issue 1, July 2011, Pages 51–64
Journal: Computers & Mathematics with Applications - Volume 62, Issue 1, July 2011, Pages 51–64
نویسندگان
Mohamed K. El-Daou,