Numerical Solutions of Fuzzy Two Coupled Nonlinear Differential Equations

Abstract

In this manuscript, we will use the new modified version of the RungeKutta method suitable for solving fuzzy two coupled systems of Nonlinear Ordinary Differential Equations (ODE). With the aid of a numerical example, we will demonstrate the accuracy of the RK −4 coupled method for solving these two coupled differential equations. To find the analytical solutions we use Laplace Adomian Decomposition Method since it is a semianalytical method used well in many existing studies on dynamical systems. In order
to tell the accuracy, we use the error analysis technique. With the help of numerical simulations, we are able to show at what point of t, both x(t) and y(t) will interact in order to support the theory.