Numerical Solution of Delay Differential Equations by Differential Transform Method

Introduction: The theory and application of linear and nonlinear delay differential equations is an important subject within physics and applied mathematics. There are several numerical approaches for solving linear and nonlinear delay differential equations. Aim: In this paper, differential transform method ( DTM ) is applied to numerical solution of linear and nonlinear delay differential equations. Materials and Methods: In this work, we presented simple proofs of the differential transform Theorems and then we applied them to solving linear and nonlinear delay differential equations. Results: Numerical results compared to exact solutions are reported and it is shown that DTM is a reliable tool for the solution of delay differential equations. Conclusion: The present method reduces the computational difficulties of the other traditional methods and all the calculations can be made simple manipulations. Several examples were tested by applying the DTM and the results have shown remarkable performance.