×

zbMATH — the first resource for mathematics

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.

MSC:
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)
PDF BibTeX XML Cite
Full Text: DOI Link
References:
[1] DOI: 10.1016/j.amc.2004.10.009 · Zbl 1090.65145
[2] DOI: 10.1016/j.amc.2005.06.013 · Zbl 1138.65309
[3] DOI: 10.1016/S0096-3003(02)00794-4 · Zbl 1032.35011
[4] DOI: 10.1016/0025-5564(73)90046-1 · Zbl 0251.92011
[5] DOI: 10.1080/00207160412331286815 · Zbl 1069.65074
[6] DOI: 10.1093/imamat/8.3.271 · Zbl 0251.34045
[7] DOI: 10.1080/00207160512331329050 · Zbl 1072.65101
[8] DOI: 10.1080/00036818608839620 · Zbl 0576.34061
[9] DOI: 10.1080/00207160601138889 · Zbl 1152.65446
[10] DOI: 10.1016/j.amc.2003.12.026 · Zbl 1071.34064
[11] Zhou J. K., Differential Transformation and its Application for Electrical Circuit (1986)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.