Title of article :
A NUMERICAL SOLUTION FOR ONE-DIMENSIONAL PARABOLIC EQUATION BASED ON PSEUDO-SPECTRAL INTEGRATION MATRIX
Author/Authors :
BABOLIAN, E. kharazmi university (university of tarbiat moallem) - Faculty of Mathematical Sciences and Computer, تهران, ايران , GHOLAMI, S. Islamic Azad University, Science and Research Branch - Department of Mathematics, ايران , JAVIDI, M. university of tabriz - Faculty of Mathematical Sciences - Department of Mathematics, تبريز, ايران
Abstract :
This paper presents a numerical method for the solution of a type of partial differential equations. This method is pseudo-spectral integration matrix which is based on the El-Gendi pseudo-spectral method. We apply this method to approximate the solution of the one-dimensional parabolic equation. Numerical results are in satisfactory agreement with the exact solution
Keywords :
Pseudo , Spectral Successive Integration , El , Gendi Method , Parabolic Equation , Gauss , Lobatto Points , for Indexing Purposes
Journal title :
Applied and Computational Mathematics
Journal title :
Applied and Computational Mathematics
