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Numerical method for singularly perturbed delay parabolic partial differential equations

Wang Yulan (Inner Mongolia University of Technology, Department of Mathematics, Hohhot, P.R. China)
Tian Dan (Inner Mongolia University of Technology, Department of Mathematics, Hohhot, P.R. China)
Li Zhiyuan (Inner Mongolia University of Technology, Department of Mathematics, Hohhot, P.R. China)

The barycentric interpolation collocation method is discussed in this paper, which is not valid for singularly perturbed delay partial differential equations. A modified version is proposed to overcome this disadvantage. Two numerical examples are provided to show the effectiveness of the present method.

Keywords: barycentric interpolation, singularly perturbed, delay parameter, Chebyshev nodes, Taylor’s series expansion