4.7 Article

Modified reproducing kernel method for singularly perturbed boundary value problems with a delay

Journal

APPLIED MATHEMATICAL MODELLING
Volume 39, Issue 18, Pages 5592-5597

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2015.01.021

Keywords

Reproducing kernel method; Singularly perturbed problems; Delay boundary value problems; Left boundary layer

Funding

  1. National Natural Science Foundation of China [11201041, 11026200]
  2. Qing Lan Project of Jiangsu Province
  3. Special Funds of the National Natural Science Foundation of China [11141003]

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This paper is devoted to the numerical treatment of a class of singularly perturbed delay boundary value problems with a left layer. The method is proposed based on the reproducing kernel theory and the error estimate of the present method is established. A numerical example is provided to show the effectiveness of the present method. Numerical results show that the present method is accurate and efficient. (C) 2015 Elsevier Inc. All rights reserved.

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