طرح های صریح و ضمنی برای مدل ویروس هانته از مرتبه کسری

Iranian Journal of Numerical Analysis and Optimization

Article 4, Volume 8, Issue 2 - Serial Number 14, January 0, Pages 75-94   

Document Type: Research Article

DOI: 10.22067/ijnao.v8i2.49973

Authors

مولود کیت انگان^{* 1}; داملا ارسلان²

¹دانشگاه سلیمان دمیرل، گروه ریاضی

²دانشگاه سلیمان دمیرل، دانشکده علوم طبیعی و کاربردی

Abstract

در این مقاله، یک مدل از مرتبه کسری برای جمعیت موش ها معرفی شده است. برخی از طرح های صریح و ضمنی مانند روشهای تتا و تفاضلات متناهی غیر استاندار(NSFD) برای حل عددی دستگاه معادلات دیفرانسیل معمولی غیر خطی به نام مدل ویروس اپیدمی هانته اجرا شده است. این روش ها با هم مقایسه شده و بحث شده است که این روش خواص مثبت بودن جواب را در حالت سیستم های از مرتبه صحیح را حفظ می کنند. جوابهای عددی با استفاده از چند نمودار تشریح شده است. نتایج عددی روش های صریح و ضمنی نشان می دهد که این روش ها زمانی که برای مدل ویروس هانته از مرتبه کسری به کار برده می شوند آسان و دارای دقت خوبی هستند.

Keywords

روش های صریح و ضمنی; روش تتا; روش تفاصلات متناهی غیر استاندارد; دستگاه معادلات دیفرانسیل غیر خطی از مرتبه کسری; مدل جمعیت موش ها

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