Differential Transform Method for Some Delay Differential Equations

Baoqing Liu¹, Xiaojian Zhou², Qikui Du³

¹School of Applied Mathematics, Jiangsu Provincial Key Laboratory for NSLSCS, Nanjing University of Finance and Economics, Nanjing, China.
²School of Science, Jiangsu Provincial Key Laboratory for NSLSCS, Nantong University, Nantong, China.
³School of Mathematical Sciences, Jiangsu Key Laboratory for NSLSCS, Nanjing Normal University, Nanjing, China.

DOI: 10.4236/am.2015.63053                

Abstract

This paper concentrates on the differential transform method (DTM) to solve some delay differential equations (DDEs). Based on the method of steps for DDEs and using the computer algebra system Mathematica, we successfully apply DTM to find the analytic solution to some DDEs, including a neural delay differential equation. The results confirm the feasibility and efficiency of DTM.

Keywords

Differential Transform Method, Delay Differential Equation, Method of Steps, Analytic Solution, Approximate Solution

Conflicts of Interest

The authors declare no conflicts of interest.

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