روش عددی صریح برای سیستم‌های دینامیک غیرموضعی با تأخیردر زمان بر پایه درونیابی اسپلاین مربعی

Subject Areas : International Journal of Industrial Mathematics

حسن  پنج مینی ¹ (گروه ریاضی، واحد لاهیجان، دانشگاه آزاد اسلامی، لاهیجان، ایران.)
بهروز  پارسا مقدم ² (گروه ریاضی، واحد لاهیجان، دانشگاه آزاد اسلامی، لاهیجان، ایران.)
الهام  هاشمی زاده ³ (گروه ریاضی، واحد کرج، دانشگاه آزاد اسلامی، کرج، ایران.)

Received: 2021-05-29 Accepted : 2021-10-02 Published : 2022-01-01

Keywords: معادله دیفرانسیل تأخیری غیرموضعی, روش عددی, مدل هاتچینسون, حسابان کسری, درونیابی اسپلاین مربعی, مدل آیکدا,

Abstract :

در این مقاله، روشی صریح برای حل عددی معادلات دیفرانسیل غیرموضعی با تأخیر در زمان ارائه و مورد بررسی قرار می گیرد. در روش ارائه شده، درونیابی اسپلاین مربعی بکار گرفته شده است و خطای روش ارائه شده آنالیز گردیده است. کارایی و اعتبار روش پیشنهادی در مدل‌های آیکدا و هاتچینسون غیرموضعی تأخیری با استناد مفاهیم خطا و همگرایی روشهای عددی به ازای مقادیر مختلف پارامترهای مرتبه کسری نمایان شده است.

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