Differential quadrature method (DQM) for a class of singular two-point boundary value problems

Abstract

Differential quadrature method is applied in this work to solve singular two-point boundary value problems with a linear or non-linear nature. It is demonstrated through numerical examples that accurate results for the problem with different types of boundary conditions can be obtained using a considerably small number of grid points. The relative, root mean square and maximum absolute errors in computed solutions are given to show the performance of the method.

Keywords:

• singular boundary value problem
• differential quadrature method
• RMS error

AMS Subject Classification :

• 65L10

C.R. Category :

• G.1.7

Acknowledgements

The authors would like to thank anonymous referees of IJCM for their valuable comments and suggestions to improve most of this paper.