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A new efficient numerical approach for delay differential equations
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1  Department of Mathematics & Statistics, Manipal University Jaipur, Rajasthan, India
Academic Editor: Juan Torregrosa (registering DOI)

In this paper, different types of nonlinear delay differential equations are solved using the hybrid technique of the differential transform and the Bell polynomial. The obtained results are compared to those obtained previously. The nonlinear terms involved in delay differential equations are handled efficiently with the help of Bell polynomials. The presented technique has been tested on four concrete problems. Different types of errors, such as absolute and maximal, are computed to show the effectiveness and reliability of the method.

Keywords: Delay differential equations; Differential transform; Bell polynomial; Convergence; Errors