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Application of differential quadrature to transport processes. (English) Zbl 0538.65084
The method of differential quadrature (DQ) is the alternative for the solution of partial differential equations to the conventional finite element and finite difference method. Briefly, the DQ method entails replacing each space partial derivative by a weighted linear sum of values of the function which is to be found. The DQ method is carefully and neatly demonstrated in the paper, namely, the corresponding numerical results and the exact ones for both 1D steady-state and transient-state transport equations are compared.
The conclusion is made in the paper that because of the reduction in programming effort and computational time, the technique of DQ appears to enjoy substantial advantages over the conventional finite element and finite difference methods for solving problems related to transport phenomena.
Reviewer: J.Smid

MSC:
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
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