In this paper, we presented modification of the differential transform method by using Laplace Transform and Padé approximation to obtain closed form solutions of linear and nonlinear partial differential equations. Some illustrative examples are given to demonstrate the activeness of the proposed technique. The obtained results ensure that this modified method is capable of solving a large number of linear and nonlinear PDEs that have wide application in science and engineering. It solves the drawbacks in the standard differential transform method.
CANSU KURT, U. and OZKAN, O. (2016). Exact solutions of some partial differential equations using the Modified Differential Transform Method. Iranian Journal of Science, (), -. doi: 10.22099/ijsts.2016.3673
MLA
CANSU KURT, U. , and OZKAN, O. . "Exact solutions of some partial differential equations using the Modified Differential Transform Method", Iranian Journal of Science, , , 2016, -. doi: 10.22099/ijsts.2016.3673
HARVARD
CANSU KURT, U., OZKAN, O. (2016). 'Exact solutions of some partial differential equations using the Modified Differential Transform Method', Iranian Journal of Science, (), pp. -. doi: 10.22099/ijsts.2016.3673
CHICAGO
U. CANSU KURT and O. OZKAN, "Exact solutions of some partial differential equations using the Modified Differential Transform Method," Iranian Journal of Science, (2016): -, doi: 10.22099/ijsts.2016.3673
VANCOUVER
CANSU KURT, U., OZKAN, O. Exact solutions of some partial differential equations using the Modified Differential Transform Method. Iranian Journal of Science, 2016; (): -. doi: 10.22099/ijsts.2016.3673