作者: T. Y. Wu , G. R. Liu
关键词: Integrating factor 、 Stochastic partial differential equation 、 Mathematics 、 Mathematical analysis 、 First-order partial differential equation 、 Examples of differential equations 、 Numerical partial differential equations 、 Gauss–Kronrod quadrature formula 、 Differential equation 、 Collocation 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.