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

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KHORRAMI N.; Salimi Shamloo A.; PARSA MOGHADDAM B.

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Journal: International Journal of Industrial Mathematics Year:2021 | Volume:13 | Issue:1 Page(s): 15-28

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Title

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

Author(s)

KHORRAMI N. | Salimi Shamloo A. | PARSA MOGHADDAM B. | Issue Writer Certificate

Keywords

GInterval Volterra-Fredholm-Hammerstein integral equation

Interval Legendre Polynomial

Interval Shifted Legendre Polynomial

Interval Legendre wavelet method

Interval System of 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 de ned. The existence and uniqueness theorem for the interval Volterra-Fredholm-Hammerstein integral equations is proved. Some examples show the e ectiveness and e ciency of the approach.

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APA: Copy

KHORRAMI, N., Salimi Shamloo, A., & PARSA MOGHADDAM, B.. (2021). Numerical Solution of Interval Volterra-Fredholm-Hammerstein Integral Equations via Interval Legendre Wavelets Method. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 13(1), 15-28. SID. https://sid.ir/paper/970283/en

Vancouver: Copy

KHORRAMI N., Salimi Shamloo A., PARSA MOGHADDAM B.. Numerical Solution of Interval Volterra-Fredholm-Hammerstein Integral Equations via Interval Legendre Wavelets Method. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2021;13(1):15-28. Available from: https://sid.ir/paper/970283/en

IEEE: Copy

N. KHORRAMI, A. Salimi Shamloo, and B. PARSA MOGHADDAM, “Numerical Solution of Interval Volterra-Fredholm-Hammerstein Integral Equations via Interval Legendre Wavelets Method,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 13, no. 1, pp. 15–28, 2021, [Online]. Available: https://sid.ir/paper/970283/en

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