Recently, researchers have been interested in studying fractional differential equations and their solutions due to the wide range of applications many scientific fields. In this paper, a new approach called Hussein–Jassim (HJ) method is presented for solving nonlinear ordinary equations. The based on power series order. proposed employed obtain an approximate solution results study show that o...

While quantum computing provides an exponential advantage in solving linear differential equations, there are relatively few algorithms for nonlinear equations. In our work, based on the homotopy perturbation method, we propose a algorithm $n$-dimensional dissipative ordinary equations (ODEs). Our first converts original ODEs into other which can be embedded finite-dimensional ODEs. Then solve ...