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Darvishi, M. T.; Khani, F.; Soliman, A. A.

The numerical simulation for stiff systems of ordinary differential equations. (English) Zbl 1141.65371

Comput. Math. Appl. 54, No. 7-8, 1055-1063 (2007).
Summary: The variational iteration method is applied to solve systems of ordinary differential equations in both linear and nonlinear cases, focusing interest on stiff problems. Some examples are given to illustrate the accuracy and effectiveness of the method. We compare our results with results obtained by the Adomian decomposition method. This comparison reveals that the variational iteration method is easier to be implemented. In fact, the variational iteration method is a promising method to various systems of linear and nonlinear equations.

Cited in 29 Documents

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A30 Linear ordinary differential equations and systems
34A34 Nonlinear ordinary differential equations and systems

Keywords:

variational iteration method; stiff systems; numerical examples; comparison of methods; Adomian decomposition method
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\textit{M. T. Darvishi} et al., Comput. Math. Appl. 54, No. 7--8, 1055--1063 (2007; Zbl 1141.65371)
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