بهبودی بر الگوریتم هم مکانی برای حل مسائل دارای شرایط اولیه

Subject Areas : International Journal of Industrial Mathematics

مهران نیک‌آریا ¹ , سعید سرآبادان ²

1 - گروه مهدسی برق و فن آوری اطلاعات، سازمان تحقیقات ایرانیان برای علوم و فن آوری، تهران، ایران.
2 - گروه ریاضی، دانشگاه امام حسین (ع)، تهران، ایران.

Received: 2016-05-16 Accepted : 2016-08-29 Published : 2022-07-01

Keywords: Collocation algorithm, IVPs, ‎Accuracy‎, Spectral methods, CPU time,

Abstract :

در این مقاله یک نسخه بهبودیافته از روش هم مکانی برای حل معادلات دیفرانسیل معمولی با شرایط اولیه ارائه شده است. الگوریتم پیشنهادی ما در این مقاله بر روی برخی از مسائل شرایط اولیه معروف بکار برده شده است. نتایج بدست آمده از این الگوریتم با نتایج حاصل از  الگوریتم‌هایهم مکانی معمولی مقایسه شده است و نتایج این مقایسه مزایا، سرعت، دقت و کارایی روش پیشنهادی را به خوبی نشان می‌دهد. بر اساس نتایج عددی، الگوریتم پیشنهادی از دقت و زمان اجرای بهتری نسبت به الگوریتم متداول برخوردار است.

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