کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640890 1341291 2010 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Moving boundary value problems for the wave equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Moving boundary value problems for the wave equation
چکیده انگلیسی

We study certain boundary value problems for the one-dimensional wave equation posed in a time-dependent domain. The approach we propose is based on a general transform method for solving boundary value problems for integrable nonlinear PDE in two variables, that has been applied extensively to the study of linear parabolic and elliptic equations. Here we analyse the wave equation as a simple illustrative example to discuss the particular features of this method in the context of linear hyperbolic PDEs, which have not been studied before in this framework.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 6, 15 July 2010, Pages 1685–1691
نویسندگان
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