کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639422 | 1632045 | 2013 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solvability of concatenated Runge–Kutta equations for second-order nonlinear PDEs
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Solvability of concatenated Runge–Kutta equations for second-order nonlinear PDEs Solvability of concatenated Runge–Kutta equations for second-order nonlinear PDEs](/preview/png/4639422.png)
چکیده انگلیسی
In this paper, we consider the solvability of concatenated Runge–Kutta (CRK) equations, which are the nonlinear algebraic equations arising from CRK methods applied to some kind of second-order nonlinear partial differential equations. To guarantee the existence and uniqueness of the solution of CRK equations, temporal and spatial step-sizes of CRK methods should be chosen appropriately. Under different assumptions, with the homotopy continuation method, we choose different step-sizes to ensure the solvability of CRK equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 245, June 2013, Pages 232–241
Journal: Journal of Computational and Applied Mathematics - Volume 245, June 2013, Pages 232–241
نویسندگان
Jialin Hong, Chol Sim, Xiuling Yin,