کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631917 1340632 2010 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The truncation method for a two-dimensional nonhomogeneous backward heat problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
The truncation method for a two-dimensional nonhomogeneous backward heat problem
چکیده انگلیسی

We consider the backward heat problemut-uxx-uyy=f(x,y,t),(x,y,t)∈Ω×(0,T),u(x,y,T)=g(x,y),(x,y)∈Ω,with the homogeneous Dirichlet condition on the rectangle Ω = (0, π) × (0, π), where the data f and g   are given approximately. The problem is severely ill-posed. Using the truncation method for Fourier series we propose a simple regularized solution which not only works on a very weak condition on the exact data but also attains, due to the smoothness of the exact solution, explicit error estimates which include the approximation (ln(ϵ-1))3/2ϵ in H2(Ω). Some numerical examples are given to illuminate the effect of our method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 216, Issue 12, 15 August 2010, Pages 3423–3432
نویسندگان
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