An economic elliptic equation solver for rectangular regions

Abstract EN

An algorithm is presented which solves the system of simultaneous linear equations generated after the application of finite differences to the elliptic equation for rectangular regions.

The subroutine made is arranged to take minimum storage and minimum execution time.

It is tested extensively on three examples whose exact solutions are known apriori.

The solutions obtained are compared with the exact results and the results obtained by some authors previously.

The present results are found in good agreement with all these results.