Numerical Solution of Interval Volterra-Fredholm-Hammerstein Integral Equations via Interval Legendre Wavelets ‎Method‎

Subject Areas : International Journal of Industrial Mathematics

نیاز خرمی ¹ (Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.)
علی سلیمی ² (Department of Mathematics, Shabestar Branch, Islamic Azad University, Shabestar, Iran.)
پارسا مقدم ³ (Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran.)

Received: 2018-12-23 Accepted : 2019-05-01 Published : 2021-01-01

Keywords: Interval Legendre wavelet method, Interval Shifted Legendre Polynomial, Interval Legendre Polynomial, Interval System of Equation, Interval Volterra-Fredholm-Hammerstein integral equation,

Abstract :

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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