Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs
نویسندگان
چکیده
منابع مشابه
Quasilinearization Approach to Nonlinear Problems in Physics with Application to Nonlinear ODEs
The general conditions under which the quadratic, uniform and monotonic convergence in the quasilinearization method of solving nonlinear ordinary differential equations could be proved are formulated and elaborated. The generalization of the proof to partial differential equations is straight forward. The method, whose mathematical basis in physics was discussed recently by one of the present ...
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The general conditions under which the quadratic, uniform and monotonic convergence in the quasilinearization method could be proved are formulated and elaborated. The method, whose mathematical basis in physics was discussed recently by one of the present authors (VBM), approximates the solution of a nonlinear differential equation by treating the nonlinear terms as a perturbation about the li...
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ژورنال
عنوان ژورنال: Computer Physics Communications
سال: 2001
ISSN: 0010-4655
DOI: 10.1016/s0010-4655(01)00415-5