کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1710166 1012877 2009 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Well-posedness of the difference schemes for elliptic equations in Cτβ,γ(E) spaces
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Well-posedness of the difference schemes for elliptic equations in Cτβ,γ(E) spaces
چکیده انگلیسی

The second order of accuracy difference scheme for the approximate solutions of the nonlocal boundary-value problem −v″(t)+Av(t)=f(t)(0≤t≤1),v(0)=v(1),v′(0)=v′(1) for differential equations in an arbitrary Banach space EE with a strongly positive operator AA is considered. The well-posedness of this difference scheme in Cτβ,γ(E) spaces is established. In applications, a series of coercivity inequalities in difference analogues of various Hölder norms for the solutions of difference schemes of the second order of accuracy over one variable for the approximate solutions of the nonlocal boundary value problem for elliptic equations are obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 22, Issue 3, March 2009, Pages 390–395
نویسندگان
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