Difference schemes for the class of singularly perturbed boundary value problems

Date

2004-03-01

Author

Sklyar, Sergey N
Rafatov, İsmail

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This work deals with the construction of difference schemes for the numerical solution of singularly perturbed boundary value problems, which appear while solving heat transfer equations with spherical symmetry. The projective version of integral interpolation (PVIIM) method is used. Derived schemes allow to approximate the solution of the problem and the derivatives of the solution at the same time. Moreover, they allow to approximate the boundary conditions of general form in the framework of the same method. New schemes are tested in order to compare them with well known difference schemes. Estimates for rates of classical and uniform convergence are carried out.

Subject Keywords

Difference scheme, uniform convergence, singular perturbation

URI

https://hdl.handle.net/11511/69622

Journal

Applied Numerical Analysis & Computational Mathematics

DOI

https://doi.org/10.1002/anac.200310019

Collections

Department of Physics, Article

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Citation Formats

S. N. Sklyar and İ. Rafatov, “Difference schemes for the class of singularly perturbed boundary value problems,” Applied Numerical Analysis & Computational Mathematics, pp. 223–230, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/69622.