کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419182 | 1339373 | 2013 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation](/preview/png/6419182.png)
چکیده انگلیسی
We prove a completeness result for a class of polynomial solutions of the wave equation called wave polynomials and construct generalized wave polynomials, solutions of the Klein-Gordon equation with a variable coefficient. Using the transmutation (transformation) operators and their recently discovered mapping properties we prove the completeness of the generalized wave polynomials and use them for an explicit construction of the solution of the Cauchy problem for the Klein-Gordon equation. Based on this result we develop a numerical method for solving the Cauchy problem and test its performance.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 399, Issue 1, 1 March 2013, Pages 191-212
Journal: Journal of Mathematical Analysis and Applications - Volume 399, Issue 1, 1 March 2013, Pages 191-212
نویسندگان
Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Sergii M. Torba, Sébastien Tremblay,