A NUMERICAL SOLUTION FOR ONE-DIMENSIONAL PARABOLIC EQUATION BASED ON PSEUDO-SPECTRAL INTEGRATION MATRIX

作者：Babolian E^*; Gholami S; Javidi M

来源：Applied and Computational Mathematics, 2014, 13(3): 306-315.

• Pseudo-Spectral Successive Integration
• El-Gendi Method
• Parabolic Equation
• Gauss-Lobatto Points, for Indexing Purposes

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.

• 出版日期2014