Presented at the 2nd International Symposium on Innovative Approaches in Scientific Studies (ISAS2018-Winter), Samsun, Turkey, Nov 30, 2018

SETSCI Conference Proceedings, 2018, 3, Page (s): 1158-1162 , https://doi.org/

Published Date: 31 December 2018    | 1236     10

There are various numerical methods for solving many problems in
mathematical physics. The differential transform method (DTM) is one of the
numerical methods for solving ordinary and partial differential equations. The
concept of the differential transform was first proposed by Zhou. Zhou’s aim was
to solve both linear and non-linear initial value problems in electric circuit analysis. In this work, we study the performance of the DTM applied to the solution
of boundary value problems for Sturm-Liouville equation with additional transmission conditions at one interior singular point. Note that, the present method
can be applied to many initial value problems and boundary-value problems with
additional transmission conditions and does not require linearization, perturbation
or discretization.  

Keywords - Differential transform method, transmission conditions, approximation solution

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