Abstract
It has been shown in Chapters 2 and 3 that the DQ approximation for a derivative of any order has a similar form. The difference in the approximation for the respective derivatives lies only in the weighting coefficients. Consider a one-dimensional problem. It is supposed that there are N grid points in the whole domain with coordinates x1, x2, …, xN. At any location xi, the nth order derivative of a function u(x,t) with respect to x can be approximated by the DQ method as
for i = 1.2 ...,N
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag London
About this chapter
Cite this chapter
Shu, C. (2000). Some Properties of DQ Weighting Coefficient Matrices. In: Differential Quadrature and Its Application in Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-0407-0_4
Download citation
DOI: https://doi.org/10.1007/978-1-4471-0407-0_4
Publisher Name: Springer, London
Print ISBN: 978-1-4471-1132-0
Online ISBN: 978-1-4471-0407-0
eBook Packages: Springer Book Archive