Solving Fredholm Integro-Differential Equations Using Composite Numerical Integration and 7-Point Finite Differences Method
DOI:
https://doi.org/10.23918/eajse.v11i3p6Keywords:
Fredholm Integro-Differential Equation, Finite Difference Method, Quadrature Rule, Composite Boole's RuleAbstract
This paper presents a numerical solution to the Fredholm integro-differential equation (FIDEs) using the 7-point finite difference method combined with a quadrature rule and composite Boole's rule. The 7-point finite difference method effectively approximates the differential component, while the quadrature rule and Boole's rule address the integral component with enhanced accuracy. This approach optimizes computational efficiency and accuracy, demonstrating that the proposed method performs well for solving Fredholm integro-differential equations. The accuracy of the proposed scheme is rigorously evaluated using and norms, while the computational efficiency is measured by assessing the CPU-time values, demonstrating a notable reduction in computational cost compared to traditional methods.
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Copyright (c) 2025 Surme Rasul Saber, Younis Abid Sabawi, Hoshman Qadir Hamad
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