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Multiparameter Direct Variational Solutions for Linear Dissipative Oscillators
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| Mathematical and Computer Modelling |
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The validity of Lagrangian functional for linear dissipative oscillator is checked by using it as a tool for approximate solutions via direct methods of variational calculus. The results of a single-parameter approximation, presented in an earlier work, are considerably improved by increasing the number of parameters in test function. The same method is applied to the more conventional Lagrangian functions, formulated by the multiplier method and the image (adjoint) method. These results allow a comparative estimate of the accuracy obtained by three different methods.
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Variational principles, Langrangian equation, dissipative systems, direct variational methods
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