یک رویکرد ترکیبی برای دستگاه معادلات انتگرال
Subject Areas : International Journal of Industrial Mathematicsحعفر بی آزار 1 , Y. Parvari Moghaddam 2 , kh. Sadri 3
1 - گروه ریاضی، دانشکده علوم ریاضی، دانشگاه گیلان، رشت، ایران.
2 - گروه ریاضی، دانشگاه گیلان، رشت، ایران.
3 - گروه ریاضی، ,واحد رشت، دانشگاه آزاد اسلامی، رشت، ایران.
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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