An Improvement on Collocation Algorithm to Solve Initial Value Problems
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
1 - Department of Electrical Engineering and Information Technology, Iranian Research Organization for Science and Technology, Tehran, Iran.
2 - Department of Mathematics, Faculty of Science, Imam Hossein Comprehensive University, Tehran, Iran.
کلید واژه: High accuracy, IVP, CPU time, Bessel functions, Collocation Spectral algorithm,
چکیده مقاله :
In this paper an improved version of the collocation method is proposed to solve ordinary differential equations with initial conditions. Our proposed algorithm is described by applying it to some well-known IVPs. The results are compared with basic collocation algorithms to show the advantages, applicability and efficiency of the proposed method. Based on numerical results, the proposed algorithm has better accuracy and execution time.
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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