کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633706 1340677 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytical treatment and convergence of the Adomian decomposition method for a system of coupled damped wave equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Analytical treatment and convergence of the Adomian decomposition method for a system of coupled damped wave equations
چکیده انگلیسی

An abstract result is proved for the convergence of Adomian decomposition method for partial differential equations that model evolutionary systems. Moreover, we prove that this decomposition scheme applied to a system of wave equations coupled in parallel with homogeneous Dirichlet boundary conditions, is convergent in a suitable Hilbert space. Furthermore, this technique is utilized to find closed-form solutions for the problem under consideration.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 212, Issue 1, 1 June 2009, Pages 72–81
نویسندگان
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