Abstract
In the finite difference representation of a partial differential equation, the mesh points on a two dimensional grid are ordered in a new manner, viz. around successive peripherals of the region of integration. The resulting coefficient matrix is such that the theory of successive block over-relaxation is valid and this technique is used to solve Dirichlet problems in regions particularly suited to the new ordering viz. the unit square with a square hole removed from the centre and a circular annular region. Comparisons are made between this new ordering and standard methods and improved rates of convergence are obtained.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.