Functional Equation Analogous to the 2-Dimensional Wave Equation

Authors

  • Teerapol Sukhonwimolmal
  • Pattanee Udomkavanich
  • Paisan Nakmahachalasint

Keywords:

functional equation, wave equation, difference equation

Abstract

In this paper, we obtained the general solution for the functional equation

gif.latex?(\Delta_{x,h_{1}}^{2}f)(x,y,t)+(\Delta_{y,h_{2}}^{2}f)(x,y,t)=(\Delta_{t,h_{3}}^{2}f)(x,y,t)

analogous to 2-dimensional wave equation.

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Published

2019-12-16

Issue

Vol. 4 (2012): December 2012

Section

Research Articles