A Hybrid Approach for Systems of Integral Equations
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
J. Biazar
1
(
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.
)
Y. Parvari Moghaddam
2
(
Department of Applied Mathematics, University Campus 2, University of Guilan, Rasht, Iran.
)
kh. Sadri
3
(
Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran.
)
کلید واژه: Hybrid Method, Operational Matrices, Systems of Fredholm and Volterra integral equations, Existence and uniqueness,
چکیده مقاله :
In this paper, we present a computational method for solving systems of Volterra and Fredholm integral equations which is a hybrid approach, based on the third-order Chebyshev polynomials and block-pulse functions which we will refer to as (HBV), for short. The existence and uniqueness of the solutions are addressed. Some examples are provided to clarify the efficiency and accuracy of the method.
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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