افشین بابائی

In this paper, a weighted algorithm based on the reduced differential transform method is introduced for solving Cauchy problems of the Kolmogorov–Petrovskii–Piskunov equations. The proposed approach uses initial and boundary conditions simultaneously for obtaining an approximate analytical solution of the equation. A description of the method is given. Finally, the Cauchy problems of some important equations are discussed to show ability of the presented algorithm and to confirm utility of this method.