Application of the recursion method in the numerical solution of multidiagonal nonlinear systems

Abstract

The recursion method of solving banded matrix equations is presented. End conditions are shown to be automatically incorporated in the recursion formulae thus simplifying computer programming. Application of the method to the numerical solution of the nonlinear liquid jet equations by finite differences is given as an example.

Keywords:

• Recursion method
• multidiagonal nonlinear systems
• finite differences
• jet equations

C.R. Categories::

• 5.14
• 5.17