یک رویکرد ترکیبی برای دستگاه معادلات انتگرال

Subject Areas : International Journal of Industrial Mathematics

حعفر  بی آزار ¹ (گروه ریاضی، دانشکده علوم ریاضی، دانشگاه گیلان، رشت، ایران.)
Y.  Parvari Moghaddam ² (گروه ریاضی، دانشگاه گیلان، رشت، ایران.)
kh.  Sadri ³ (گروه ریاضی، ,واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران.)

Received: 2020-04-21 Accepted : 2020-09-05 Published : 2023-01-01

Keywords: Systems of Fredholm and Volterra integral ‎equations, Existence and uniqueness, Operational ‎Matrices, ‎ Hybrid Method,

Abstract :

در این مقاله، یک روش محاسباتی برای حل دستگاه های معادلات انتگرال ولترا و فردهلم ارائه شده است که یک رویکرد ترکیبی بر اساس توابع بلوک پالس و نوع سوم چند جمله های چبیشف است که ما به آنها به طور خلاصه(HBV)  اشاره خواهیم کرد. با استفاده از روش HBV و ماتریس عملیاتی انتگرال، چنین دستگاه هایی را می توان به دستگاه معادلات جبری کاهش داد.  به وجود و منحصر به فرد بودن جواب هم پرداخته شده است.  چند مثال برای روشن شدن کارآیی و اثر بخشی روش ارائه شده است.

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