Using the Differential Transform Method to Solve Non-Linear Partial Differential Equations
Fadwa A. M. Madi *
Department of Mathematics, Faculty of Education, University of Benghazi, Benghazi, Libya.
Fawzi Abdelwahid
Department of Mathematics, Faculty of Science, University of Benghazi, Benghazi, Libya.
*Author to whom correspondence should be addressed.
Abstract
In this work, we reviewed the two-dimensional differential transform, and introduced the differential transform method (DTM). As an application, we used this technique to find approximate and exact solutions of selected non-linear partial differential equations, with constant or variable coefficients and compared our results with the exact solutions. This shows that the introduced method is very effective, simple to apply to linear and nonlinear problems and it reduces the size of computational work comparing with other methods.
Keywords: Two-dimensional differential transform, partial differential equations, differential transform method