Solutions of delay differential equations by using differential transform method. (English) Zbl 1167.65038

The paper is concerned with the extension of the differential transform method (DTM) to delay differential equations. The authors are able to obtain approximate and exact solutions using the approach for both linear and nonlinear problems of an appropriate type.
The paper is structured as follows: following preliminaries, the DTM is described. Results are given on expressions for differential transforms and then, through a series of examples, the authors provide information about how the method can be used to obtain exact and approximate solutions to delay differential equations.


65L05 Numerical methods for initial value problems involving ordinary differential equations
34K07 Theoretical approximation of solutions to functional-differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
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