A fourier series method for the numerical solution of hyperbolic equations

Abstract

In this paper a Fourier series technique which reduces the given hyperbolic partial differential equation to a system of ordinary differential equations with one point boundary conditions is presented. The numerical results obtained indicate a considerable saving in time in addition to accuracy since no discretisation errors are incurred in the space variable.

Keywords:

• Fourier analyses
• hyperbolic systems
• ordinary differential equations

C.R. Categories:

• G1.8
• G1.7
• G1.2