کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
473481 698792 2008 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytic-numerical solutions of diffusion mathematical models with delays
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Analytic-numerical solutions of diffusion mathematical models with delays
چکیده انگلیسی

This work deals with the construction of analytic-numerical solutions of mixed problems for diffusion and reaction-diffusion equations with delay. Using the method of separation of variables, exact theoretical infinite series solutions are derived. Bounds on the truncation errors, when these series are approximated by finite sums, are given, thus providing constructive continuous numerical solutions with prescribed accuracy in bounded domains. In order to improve the computational efficiency of these numerical solutions, polynomial approximations to the initial functions are also considered.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 56, Issue 3, August 2008, Pages 743–753
نویسندگان
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