کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4641669 1341316 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Linear B-spline finite element method for the improved Boussinesq equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Linear B-spline finite element method for the improved Boussinesq equation
چکیده انگلیسی

In this paper, we develop and validate a numerical procedure for solving a class of initial boundary value problems for the improved Boussinesq equation. The finite element method with linear B-spline basis functions is used to discretize the nonlinear partial differential equation in space and derive a second order system involving only ordinary derivatives. It is shown that the coefficient matrix for the second order term in this system is invertible. Consequently, for the first time, the initial boundary value problem can be reduced to an explicit initial value problem to which many accurate numerical methods are readily applicable. Various examples are presented to validate this technique and demonstrate its capacity to simulate wave splitting, wave interaction and blow-up behavior.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 224, Issue 2, 15 February 2009, Pages 658–667
نویسندگان
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