Abstract:
In this work, three scheme were developed, analyzed and applied to solve two dimensional
hyperbolic Partial Di erential Equations (PDEs). The derivations were achieved by using
collocation and interpolation techineques. The PDEs were converted to Ordinary Di erential
Equations (ODEs) via method of lines by replacing the spartial derivatives with second-order
central di erence formulas. The resulting system of ODEs were solved in a blockwise manner
using the derived methods. Analysis of the derived methods revealed that they are zero-stable,
consistent and convergent. The results obtained using the derived methods were compared
with existing methods in the literature. It was observed that the derived methods compared
favourably well with the existing methods.
