科研之友
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摘要
This paper presents a comprehensive comparative study of the differential quadrature and cubature methods in relation to the conventional techniques of the finite difference and finite element methods. The basis of comparison is the numerical accuracy and the computational efficiency in terms of CPU time. This is done in context of linear and nonlinear convection-diffusion-reaction problems. In addition, this paper also provides a few innovations in the quadrature method. These include a modified quadrature formulation in which the Neumann boundary condition of the problem is directly incorporated into the weighting coefficient matrices and two other quadrature formulations in which the progressive solutions of the problem are carried out by a domain decomposition technique and by a Crank-Nicolson version of the quadrature method.
- 出版日期1995-2
