%0 Journal Article
	%A M. F. Patricio and  P. M. Rosa
	%D 2007
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 9, 2007
	%T The Differential Transform Method for Advection-Diffusion Problems
	%U https://publications.waset.org/pdf/8361
	%V 9
	%X In this paper a class of numerical methods to solve linear and nonlinear PDEs and also systems of PDEs is developed. The Differential Transform method associated with the Method of Lines (MoL) is used. The theory for linear problems is extended to the nonlinear case, and a recurrence relation is established. This method can achieve an arbitrary high-order accuracy in time. A variable stepsize algorithm and some numerical results are also presented.

	%P 421 - 425