Properties of MDTM and RDTM for two–Dimensional Lane– Emden Equations and Systems Equations

Abstract In this paper, I study the linear and the nonlinear forms of two–dimensional Lane–Emden type equations by proving and applying new product and quotient properties for different differential transform methods (RDTM and MDTM), in order to minimize computation to the maximum. I also introduce the two–dimensional Lane–Emden systems equations. I will obtain exact analytic solutions without linearization, discretization or perturbation, even with less computation. Mathematics Subject Classification: 35J15, 35J47, 70F15, 35J75