Numerical Solution of Interval Volterra-Fredholm-Hammerstein Integral Equations via Interval Legendre Wavelets Method
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
N. khorrami
1
(
Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
)
A. Salimi Shamloo
2
(
Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran.
)
B. Parsa Moghaddam
3
(
Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
)
کلید واژه: Interval Legendre wavelet method, Interval Shifted Legendre Polynomial, Interval Legendre Polynomial, Interval System of Equation, Interval Volterra-Fredholm-Hammerstein integral equation,
چکیده مقاله :
In this paper, interval Legendre wavelet method is investigated to approximated the solution of the interval Volterra-Fredholm-Hammerstein integral equation. The shifted interval Legendre polynomials are introduced and based on interval Legendre wavelet method is defined. The existence and uniqueness theorem for the interval Volterra-Fredholm-Hammerstein integral equations is proved. Some examples show the effectiveness and efficiency of the approach.
در این مقاله، روش موجک بازه ای لژاندر برای تقریب جواب معادله انتگرال بازه ای فردهلم –ولترا از نوع همرشتاین مورد بررسی قرار گرفته است. چند جمله ای های انتقال یافته ی بازه ای لژاندر بر اساس موجک بازه ای لژاندر تعریف می شوند. قضیه وجود و یکتایی برای معادله انتگرال بازه ای فردهلم-ولترا از نوع همرشتاین اثبات می شود. چند مثال دقت و کارایی روش را نشان می دهند.
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