کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4642779 | 1341357 | 2007 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
New conservative schemes with discrete variational derivatives for nonlinear wave equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
New conservative finite difference schemes for certain classes of nonlinear wave equations are proposed. The key tool there is “discrete variational derivative”, by which discrete conservation property is realized. A similar approach for the target equations was recently proposed by Furihata, but in this paper a different approach is explored, where the target equations are first transformed to the equivalent system representations which are more natural forms to see conservation properties. Applications for the nonlinear Klein–Gordon equation and the so-called “good” Boussinesq equation are presented. Numerical examples reveal the good performance of the new schemes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 203, Issue 1, 1 June 2007, Pages 32–56
Journal: Journal of Computational and Applied Mathematics - Volume 203, Issue 1, 1 June 2007, Pages 32–56
نویسندگان
Takayasu Matsuo,