کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4639728 1341247 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Uniform convergent monotone iterates for semilinear singularly perturbed parabolic problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Uniform convergent monotone iterates for semilinear singularly perturbed parabolic problems
چکیده انگلیسی

This paper deals with discrete monotone iterative methods for solving semilinear singularly perturbed parabolic problems. Monotone sequences, based on the accelerated monotone iterative method, are constructed for a nonlinear difference scheme which approximates the semilinear parabolic problem. This monotone convergence leads to the existence-uniqueness theorem. An analysis of uniform convergence of the monotone iterative method to the solutions of the nonlinear difference scheme and continuous problem is given. Numerical experiments are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 12, 15 April 2011, Pages 3541–3553
نویسندگان
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