SOLVING A CLASS OF TRANSMISSION PROBLEMS BY THE DIFFERENTIAL TRANSFORM METHOD

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.