A Differential Quadrature as a numerical method to solve differential equations

作者: T. Y. Wu , G. R. Liu

DOI: 10.1007/S004660050452

关键词: Integrating factorStochastic partial differential equationMathematicsMathematical analysisFirst-order partial differential equationExamples of differential equationsNumerical partial differential equationsGauss–Kronrod quadrature formulaDifferential equationCollocation method

摘要: A Differential Quadrature proposed here can be used to solve boundary-value and initial-value differential equations with a linear or nonlinear nature. Unlike the classic Method (DQM), newly chooses function values some derivatives wherever necessary as independent variables. Therefore, δ-type grid arrangement in DQM is exempt while applying boundary conditions exactly. Most importantly, explicit weighting coefficients obtained using procedures. The present method two types of which are single-span Bernoulli–Euler beam's buckling equation one-degree-of-freedom solid dynamic equation. Excellent results were obtained.

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