A New Approach for Solution of Linear Time-Delay Integral Equations via  Z-Decommission Method

Almousa, Mohammad; Ogilat, Osama

doi:10.17654/ms102112551

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Dhari and Mustafa1

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2024

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“…The single-term Walsh series approach was used to solve delay Volterra integral equations [3]. The Z-decommission method has been applied to solve the equations of the Fredholm and Volterra types with time delay [4]. The non-polynomial spline is presented in [5] by A. M. Muhammad that is applied to the Volterra integral equation with delay.…”

Section: Dhari and Mustafamentioning

confidence: 99%

Numerical Solution of Linear Volterra Integral Equation of the Second Kind with Delay Using Lagrange Polynomials

Dhari,

Mustafa

2024

Iraqi Journal of Science

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In this study, the linear Volterra integral problem of the second kind will be treated with delay using a Lagrange polynomial. The Volterra integral problem is solved numerically using the chosen technique to obtain the best approximation. Additionally, the test examples are provided to demonstrate, through comparison with other methods' outcomes, the great degree of accuracy of the approximative solutions. Moreover, To verify the accuracy of the calculations that is used in these test examples, the absolute error is used to compare it to the exact solution. For this method, the program is written by MATLAB R2018a language.

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Section: Dhari and Mustafamentioning

confidence: 99%