Chebyshev Polynomials For Linear Ordinary Differentiel Equations

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Date

2022-06-10

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University of m'sila

Abstract

The main objective of this work is to present a numerical method for finding approximate certain solutions of second-order ordinary differential equations. using Chebyshev Polynomials. Then, applying this method on some examples for comparing the results with exact solution and the obtainable results using other numerical methods to show the accuracy and the effectiveness of this method.

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Keywords

Hilbert space, Linear ordinary differential equations, Chebyshev polynomials, approximation method.

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