THE NUMERICAL SOLUTION OF HELMHOLTZ EQUATION VIA MULTIVARIATE PADÉ APPROXIMATION

Muhammed Yigider, Mesut Karabacak

Abstract: In this study, we consider the numerical solution of the Helmholtz equation, arising from numerous physical phenomena and engineering applications including energy systems. We make use of a Padé Approximation method for the solution of the Helmholtz equation. Firstly, Helmholtz partial differential equation had been converted to power series by two-dimensional differential transformation, then the numerical solution of the equation was put into Padé series form for accelerating convergence and decreasing computational time. Hereby, we obtained numerical solution of Helmholtz type partial differential equation

Keywords: Helmholtz equation, Two-dimensional differential transformation, Multivariate Padé approximation, power series

DOI: https://doi.org/10.15623/ijret.2015.0402093