Modified Reduced Differential Transform Method for Partial Differential-Algebraic Equations

Abstract EN

This work presents the application of the reduced differential transform method (RDTM) to find solutions of partial differential-algebraic equations (PDAEs).

Two systems of index-two and index-three are solved to show that RDTM can provide analytical solutions forPDAEs in convergent series form.

In addition, we present the posttreatment of the power series solutions with the Laplace-Padé resummation method as a useful technique to find exact solutions.

The main advantage of the proposed technique is that it is based on a few straightforward steps and does not generate secular terms or depend on a perturbation parameter.