Malaysian Journal of Mathematical Sciences, January 2022, Vol. 16, No. 1
Solving Fredholm Second Order Integro-Differential Equation with Logarithmic Kernel Using the Airfoil Collocation Method
Ramdani, N. E. and Hadj, A.
Corresponding Email: nedjemeddine.ramdani@yahoo.com
Received date: 11 June 2021
Accepted date: 1 October 2021
Abstract:
In this paper, the Airfoil polynomials for solving the second order integro-differential equation with a singular kernel is considered. The collocation method is developed to obtain an approximate solution of the equation. We present an error analysis and conclude by providing numerical tests to verify our results.
Keywords: Fredholm integro-differential equation; second order; logarithmic kernel; airfoil polynomials; collocation method
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