The Solutions of Legendre’s and Chebyshev’s Differential Equations by Using the Differential Transform Method

A. M. Alotaibi; M. A. El-Moneam; Badr S. BadrLibor Peka?

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The Solutions of Legendre’s and Chebyshev’s Differential Equations by Using the Differential Transform Method

机译：The Solutions of Legendre’s and Chebyshev’s Differential Equations by Using the Differential Transform Method

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Chebyshev’s and Legendre’s differential equations’ solutions are solved employing the differential transform method (DTM) and the power series method (PSM) in this study. This research shows that this method is efficient and effective in discovering Chebyshev’s and Legendre’s differential equation (DE) series solutions and that it can reduce calculation size when compared to other methods.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2022年第15期|1.1-1.9|共9页
作者
A. M. Alotaibi; M. A. El-Moneam; Badr S. BadrLibor Peka?;
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Department of Mathematics Faculty of Science University of Tabuk P.O. Box 741 Tabuk 71491;

Mathematics Department Faculty of Science Jazan University Jazan;

Mathematics Department Faculty of Sciences Tanta University Tanta;

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The Solutions of Legendre’s and Chebyshev’s Differential Equations by Using the Differential Transform Method

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