کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1709168 1012844 2012 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Iterative splitting methods for solving time-dependent problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Iterative splitting methods for solving time-dependent problems
چکیده انگلیسی

There is increasing motivation for solving time-dependent differential equations with iterative splitting schemes. While Magnus expansion has been intensively studied and widely applied for solving explicitly time-dependent problems, the combination with iterative splitting schemes can open up new areas. The main problems with the Magnus expansion are the exponential character and the difficulty of deriving practical higher order algorithms. An alternative method is based on iterative splitting methods that take into account a temporally inhomogeneous equation. In this work, we show that the ideas derived from the iterative splitting methods can be used to solve time-dependent problems. Examples are discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 25, Issue 5, May 2012, Pages 793–797
نویسندگان
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