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Mathematical Sciences Letters
An International Journal


Volumes > Vol. 11 > No. 3


Legendre derivatives direct residual spectral method for solving some types of ordinary differential equations

PP: 103-108
Mona Fawz, Hanaa Moussa, D. Baleanu, M. El-Kady, M. Abdelhakem,
This paper will focus on determining the approximate numerical solutions for several types of linear and nonlinear Ordinary differential equations. This solution is based on the direct numerical technique, which depends on the Legendre polynomialsí derivatives. Then, we will give an approximate solution as a finite sum of the polynomials and unknown coefficients. Finally, some linear and nonlinear differential equations have been solved to show the efficiency and accuracy of the proposed method.

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