Numerical Solutions for Ito Coupled System

Abstract

In this paper, the classical fourth-order Runge-Kutta method and Heun's method are applied to initial value problems for system of ordinary differential equations in nonlinear cases which we reach it by Painleve analysis, focusing our interest in Ito coupled nonlinear partial differential system. The equations are solved by scheme of one step methods. Numerical results for the velocity in three dimensions are obtained and reported graphically for various temperatures to show interesting aspects of the solution.

Reduced $pq$-Differential Transform Method and Applications

“…There are several methods to solve this system and its variants. One may refer to [11], [12], [21] in this direction.…”

The best parameters selection using pso algorithm to solving for ito system by new iterative technique

“…In the past decades a group of authors have paid special attention in studying non-linear equations solutions using methods Numerical ones. Among these are Inverse scattering method, Bucklund 1639 transformations, and the tanh-function method [2]. Obtaining the exact solution of the nonlinear system of partial differential equations has become one of the most important aspects because of its importance in understanding the mechanism of complex phenomena, such as (NSPDE), Literature is the first breakthrough in the nonlinear generalized Ito system proposed in 1980, according to the perception of the world of Ito dual systems [3].…”