کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630213 1340596 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A spline collocation approach for a generalized parabolic problem subject to non-classical conditions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A spline collocation approach for a generalized parabolic problem subject to non-classical conditions
چکیده انگلیسی
A numerical method based on finite differences and spline collocation is proposed for solving a generalized parabolic problem subject to non-classical conditions. It is shown numerically that this scheme has second-order convergence. The stability conditions relating the time step size to mesh sizes were examined through numerical examples. It turns out that the stability of the scheme in certain cases is subjected to a stability condition and depends on the nature of the problem. A number of specific test problems are solved to assess the efficiency and performance of the method. The numerical results obtained indicate that the approach is viable and yields accurate solutions when compared with the existing closed-form solutions and generates results consistent with recent numerical approaches.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 18, 15 May 2012, Pages 9187-9196
نویسندگان
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