The numerical solution of 2-dimensional fourth order partial differential equations by the age fractional method

Abstract

The fourth order parabolic equation in two-space variables which arise in the study of transverse vibrations of a uniform plate is discussed and solved numerically using the Alternating Group Explicit (AGE) fractional method. The stability of the proposed scheme has been examined and shown to be uncondition-ally stable.

Keywords:

• 4th order parabolic equation
• AGE fractional scheme

C.R. Categories:

• G.1.8