کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
469717 698348 2009 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
General nonstandard finite-difference schemes for differential equations with three fixed-points
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
General nonstandard finite-difference schemes for differential equations with three fixed-points
چکیده انگلیسی

We construct general nonstandard finite-difference (NSFD) schemes that provide explicit methods for first-order differential equations with three fixed-points y′(t)=±y(y−α)(y−1) where 0≤α≤10≤α≤1. For y≥0y≥0, these methods, regardless of the step-size chosen, are stable with respect to the monotonicity of solutions and are elementary stable. That is, they preserve the critical properties of the original differential equation such as the positivity of the solutions, the stability behavior of all fixed-points, and the monotonicity of solutions within each subinterval (0,α)(0,α), (α,1)(α,1), and (1,∞)(1,∞).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 57, Issue 3, February 2009, Pages 379–383
نویسندگان
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