Numerical Solutions for Solving the Modeling Differential Equations
Y. A. Amer
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt.
A. M. S. Mahdy *
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt and Department of Mathematics and Statistics, Faculty of Science, Taif University, Saudi Arabia.
H. A. R. Namoos
Department of Mathematics, Faculty of Science, Baghdad University, Baghdad, Iraq.
*Author to whom correspondence should be addressed.
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.
Keywords: Logistic differential equation, Riccati differential equation, Variational iteration method, Shifted Chebyshev-spectral method fourth kind, Hermite collocation method.