Rannacher scheme for two-dimensional diffusion equations with nonlocal boundary specification and irregular data

  • Authors:

  • Mohammad Siddique

  • Affiliations:

  • Department of Mathematics and Computer Science, Fayetteville State University, Fayetteville, NC

  • Venue:
  • AMERICAN-MATH'10 Proceedings of the 2010 American conference on Applied mathematics
  • Year:
  • 2010

Quantified Score

Hi-index 0.00

Visualization

Abstract

Parabolic partial differential equation with nonlocal boundary conditions arise in modeling of various physical phenomena in areas such as chemical diffusion, thermoelasticity, heat conduction process, control theory and medicine science. This paper deals with the successful implementation of Rannacher 's smoothing scheme to two-dimensional inhomogeneous parabolic partial differential equations with nonlocal boundary conditions under nonsmooth data situation. The graphical results show an excellent smoothing and numerical results prove the accuracy of these smoothing schemes.