کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4633322 1340667 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Picard’s iterative method for nonlinear advection–reaction–diffusion equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Picard’s iterative method for nonlinear advection–reaction–diffusion equations
چکیده انگلیسی

Picard’s iterative method for the solution of nonlinear advection–reaction–diffusion equations is formulated and its convergence proved. The method is based on the introduction of a complete metric space and makes uses of a contractive mapping and Banach’s fixed-point theory. From Picard’s iterative method, the variational iteration method is derived without making any use at all of Lagrange multipliers and constrained variations. Some examples that illustrate the advantages and shortcomings of the iterative procedure presented here are shown.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 4, 15 October 2009, Pages 1526–1536
نویسندگان
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