Numerical Solution to Duffing Equation Using Hybrid Genetic Algorithm Technique
نویسندگان
چکیده
In this paper, a heuristic scheme is used to obtain the numerical solution of the non linear ordinary differential equations (NLODEs). The approximate solutions of the given NLODEs are deduced as a linear combination of some log sigmoid basis functions with unknown parameters. The given NLODEs are converted into equivalent global error minimization problems. Genetic algorithm (GA) and a hybrid approach combining GA with Interior point algorithm (IPA) are used to solve the minimization problems and to achieve unknown parameters. The effectiveness of the proposed technique is validated by solving duffing equations. The approximate results are found in good agreement with the exact solutions.
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