کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
843920 908569 2008 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Differentiability and its asymptotic analysis for nonlinear singularly perturbed boundary value problem
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Differentiability and its asymptotic analysis for nonlinear singularly perturbed boundary value problem
چکیده انگلیسی
In this paper, we show differentiability of solutions with respect to the given boundary value data for nonlinear singularly perturbed boundary value problems and its corresponding asymptotic expansion of small parameter. This result fills the gap caused by the solvability condition in Esipova's result so as to lay a rigorous foundation for the theory of boundary function method on which a guideline is provided as to how to apply this theory to the other forms of singularly perturbed nonlinear boundary value problems and enlarge considerably the scope of applicability and validity of the boundary function method. A third-order singularly perturbed boundary value problem arising in the theory of thin film flows is revisited to illustrate the theory of this paper. Compared to the original result, the imposed potential condition is completely removed by the boundary function method to obtain a better result. Moreover, an improper assumption on the reduced problem has been corrected.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 69, Issue 7, 1 October 2008, Pages 2236-2250
نویسندگان
, , ,