×

zbMATH — the first resource for mathematics

The Adomian decomposition method for solving delay differential equation. (English) Zbl 1069.65074
A numerical method based on the Adomian decomposition method which has been developed by G. Adomian [Solving frontier problems of physics: The decomposition method. Kluwer Academic Publishers (1994; Zbl 0802.65122)] is introduced for the approximate solution of delay differential equations. The algorithm is illustrated by studying an initial value problem. The results obtained are presented and show that only a few terms are required to obtain an approximate solution which is found to be accurate and efficient.

MSC:
65L05 Numerical methods for initial value problems involving ordinary differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Adomian G, Solving Frontier Problems of Physics: The Decomposition Method (1994) · Zbl 0802.65122
[2] DOI: 10.1006/jmaa.1993.1105 · Zbl 0796.35017
[3] DOI: 10.1016/S0898-1221(00)00187-5 · Zbl 0959.65090
[4] DOI: 10.1016/S0096-3003(03)00686-6 · Zbl 1051.65100
[5] DOI: 10.1080/0020716021000014204 · Zbl 1022.65075
[6] Shadia M, PhD thesis, Assuit University (1992)
[7] El-Safty A, Bulletin of the Faculty of Science, Assuit University 22 pp 67– (1993)
[8] DOI: 10.1016/0898-1221(95)00024-S · Zbl 0830.65071
[9] DOI: 10.1080/00207169008803822 · Zbl 0825.68498
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.