Spectral methods for some singularly perturbed problems with initial and boundary layers

Abstract

Special methods with interface point are presented to deal with some singularly perturbed initial—value and boundary—value problems in ordinary differential equations. Good numerical results have been obtained and compared with other methods.

Keywords:

• Spectral methods
• chebyshev polynomial
• interface point
• singularly perturbed problems
• ordinary differential equations

C.R. Classifications:

• G.1.7

^*Department of Mathematics, The University, Doha, Qatar.

^*Department of Mathematics, The University, Doha, Qatar.

Notes

^*Department of Mathematics, The University, Doha, Qatar.