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Research Article Open access CC BY 4.0

Numerical Solutions for Solving the Modeling Differential Equations

Y. A. Amer, A. M. S. Mahdy, H. A. R. Namoos

Asian Research Journal of Mathematics · pp. 1–16 · Published 8 Nov 2017

10.9734/ARJOM/2017/36942

Abstract

In this paper, we will solve the Logistic and Riccati differential equations using VIM, shifted Chebyshev-spectral fourth kind methods and Hermite collocation method. Where we can from the numerical results we obtained to conclude that the solution using these three approaches converge to the exact solution is excellent. We note that we can apply the proposed methods to solve other problems in engineering and physics.

Logistic differential equation Riccati differential equation Variational iteration method Shifted Chebyshev-spectral method fourth kind Hermite collocation method.

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