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Airfoil Collocation Method Employing a New Efficient Procedure for Solving System of Two Logarithmic Integro–Differential Equations

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Abstract

In this study, we present the airfoil collocation approach employing a new efficient procedure for approximating the solution of a system of two logarithmic integro-differential equations. We demonstrate the existence of solutions to the approximation equations and conduct an error analysis. It is necessary to solve two systems of linear equations. Finally, a numerical example demonstrates the method’s precision.

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Authors and Affiliations

  1. Department of Mathematics, LTM, University of Batna 2, Mostefa Ben Boulaïd, Fesdis, Batna, 05078, Algeria

    Abdelaziz Mennouni

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  1. Abdelaziz Mennouni
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Correspondence to Abdelaziz Mennouni.

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Mennouni, A. Airfoil Collocation Method Employing a New Efficient Procedure for Solving System of Two Logarithmic Integro–Differential Equations. Int. J. Appl. Comput. Math 8, 208 (2022). https://doi.org/10.1007/s40819-022-01421-2

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