Numerical Solution of Interval Volterra-Fredholm-Hammerstein Integral Equations via Interval Legendre Wavelets Method
الموضوعات : مجله بین المللی ریاضیات صنعتیN. khorrami 1 , A. Salimi Shamloo 2 , B. Parsa Moghaddam 3
1 - Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
2 - Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran.
3 - Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.
الکلمات المفتاحية: Interval Legendre wavelet method, Interval Shifted Legendre Polynomial, Interval Legendre Polynomial, Interval System of Equation, Interval Volterra-Fredholm-Hammerstein integral equation,
ملخص المقالة :
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.
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