The Application of Z-Transform for the Solution Difference Equation
THE APPLICATION OF Z–TRANSFORM FOR THE SOLUTION DEFFERENCE EQUATION
Department of General Studies, Akwa Ibom State Polytechnic
Ikot osurua, Akwa Ibom State.
The paper is concerned with the properties of z-transform and its inverse for the solution of certain types of difference equations. The procedure involves the reduction of the difference equation to an algebraic equation using the properties of z- transform. The equation is then solved using algebraic techniques and subject to the governing boundary conditions. This process is illustrated with a solution of the Fibonacci sequence and other examples from various fields of science and economics.
Keywords: z-transforms, residue, power series, partial fractions, Fibonacci sequence