کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632723 1340652 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solving an initial value problem in inhomogeneous electrically and magnetically anisotropic uniaxial media
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Solving an initial value problem in inhomogeneous electrically and magnetically anisotropic uniaxial media
چکیده انگلیسی
An initial value problem for a system of the second order partial differential equations, describing the electric wave propagation in vertically inhomogeneous electrically and magnetically anisotropic uniaxial media, is the main object of the study. The present paper suggests and justifies a new algorithm for solving this problem. This algorithm has several steps. On the first step the original initial value problem is written in terms of the Fourier images with respect to lateral variables. After that the obtained problem is transformed into an equivalent second kind vector integral equation of the Volterra type. A solution of this integral equation is constructed by successive approximations. At last, using the real Paley-Wiener theorem, a solution of the original initial value problem is found.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 11, 1 February 2010, Pages 3839-3850
نویسندگان
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