Generalization of Exp-function and other standard function methods
作者： Zenonas Navickas , Liepa Bikulciene , Minvydas Ragulskis
DOI: 10.1016/J.AMC.2010.03.083
关键词: Numerical analysis 、 Mathematics 、 Computational algorithm 、 Applied mathematics 、 Identification (information) 、 Differential equation 、 Standard function 、 Exponential function 、 Structure (category theory) 、 Mathematical analysis 、 Generalization 、 Computational mathematics
摘要: Exp-function and other standard function methods for solving nonlinear differential equations are generalized in this paper. An analytical criterion determining if a solution can be expressed form comprising functions is derived. New computational algorithm automatic identification of the structure constructed. The provides information as sum functions, ratio sums or even more complex algebraic involving functions. Several examples used to illustrate proposed concept.
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