(n+1)(n+1)-Dimensional reduced differential transform method for solving partial differential equations

In this paper, we study the generalization of the reduced differential transform method to (n+1)(n+1)-dimensional case, thus, the partial differential equations (PDEs) can be solved efficiently. One distinctive practical feature of this method is that it is applied without using discretization, or restrictive assumptions, the other is that large computational work and round-off errors are avoided. We employ the proposed method on a few initial value problems to illustrate it is highly accurate and more efficient. Hence, our method is a powerful method for solving the PDEs and problems arising in physics, engineering area, and so on.