کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4626620 1631790 2015 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Time-dependent Hermite–Galerkin spectral method and its applications
ترجمه فارسی عنوان
طیف سنجی وابسته به زمان هرمیتی گالکرین و کاربردهای آن
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

A time-dependent Hermite–Galerkin spectral method (THGSM) is investigated in this paper for the nonlinear convection–diffusion equations in the unbounded domains. The time-dependent scaling factor and translating factor are introduced in the definition of the generalized Hermite functions (GHF). As a consequence, the THGSM based on these GHF has many advantages, not only in theoretical proofs, but also in numerical implementations. The stability and spectral convergence of our proposed method have been established in this paper. The Korteweg–de Vries–Burgers (KdVB) equation and its special cases, including the heat equation and the Burgers’ equation, as the examples, have been numerically solved by our method. The numerical results are presented, and it surpasses the existing methods in accuracy. Our theoretical proof of the spectral convergence has been supported by the numerical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 264, 1 August 2015, Pages 378–391
نویسندگان
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