Linearization and Correction Method for Nonlinear Problems
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摘要: 提出了一种拟摄动理论——线化和校正方法。在该理论中,不象传统的摄动方法假设其近似解可表示成小参数的级数形式,而是先把方程线性化,再求其线化方程的解,然后再校正线化方程的解。这样得到的近似解不受方程中的“参数”的影响。Abstract: A new perturbation-like technique called linearization and correction method is proposed. Contrary to the traditional perturbation techniques,the present theory does not assume that the solution is expressed in the form of a power series of small parameter.To obtain an asymptotic solution of nonlinear system,the technique first searched for a solution for the linearized system,then a correction was added to the linearized solution.So the obtained results are uniformly valid for both weakly and strongly nonlinear equations.
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Key words:
- nonlinearity /
- asymptotic solution /
- perturbation technique
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