تقرير
A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein-Gordon equation
| العنوان: | A numerical method for computing radially symmetric solutions of a dissipative nonlinear modified Klein-Gordon equation |
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| المؤلفون: | Macías-Díaz, J. E., Puri, A. |
| المصدر: | Numerical Methods for Partial Differential Equations 21(5)pp.998-1015, 1 Sep 2005 |
| سنة النشر: | 2011 |
| المجموعة: | Mathematics Mathematical Physics Physics (Other) |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Mathematical Physics, Physics - Classical Physics, Physics - Computational Physics, (PACS) 45.10.-b, 05.45.-a, 02.30.Hq, 05.45.-a |
| الوصف: | In this paper we develop a finite-difference scheme to approximate radially symmetric solutions of the initial-value problem with smooth initial conditions in an open sphere around the origin, where the internal and external damping coefficients are constant, and the nonlinear term follows a power law. We prove that our scheme is consistent of second order when the nonlinearity is identically equal to zero, and provide a necessary condition for it to be stable order n. Part of our study will be devoted to compare the physical effects of the damping coefficients. |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1002/num.20094 |
| URL الوصول: | http://arxiv.org/abs/1112.4921 |
| رقم الأكسشن: | edsarx.1112.4921 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1002/num.20094 |
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