Fitted Tension Spline Method for Singularly Perturbed Time Delay Reaction Diffusion Problems

被引：3
|
作者：
Megiso, Ermias Argago [1 ]
Woldaregay, Mesfin Mekuria [1 ]
Dinka, Tekle Gemechu [1 ]
机构：
[1] Adama Sci & Technol Univ, Dept Appl Math, Adama, Ethiopia
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷
关键词：
FINITE-DIFFERENCE METHOD; NUMERICAL-METHOD; NUMEROV METHOD; EQUATIONS;
D O I：
10.1155/2022/8669718
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A uniformly convergent numerical method is presented for solving singularly perturbed time delay reaction-diffusion problems. Properties of the continuous solution are discussed. The Crank-Nicolson method is used for discretizing the temporal derivative, and an exponentially fitted tension spline method is applied for the spatial derivative. Using the comparison principle and solution bound, the stability of the method is analyzed. The proposed numerical method is second-order uniformly convergent. The theoretical analysis is supported by numerical test examples for various values of perturbation parameters and mesh size.
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页数：10
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