Difference schemes for the class of singularly perturbed boundary value problems | Zendy

Rafatov Ismail R. | Zendy; Sklyar Sergey N. | Zendy

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Difference schemes for the class of singularly perturbed boundary value problems

Author(s) -

Rafatov Ismail R.,

Sklyar Sergey N.

Publication year - 2004

Publication title -

applied numerical analysis & computational mathematics

Language(s) - English

Resource type - Journals

eISSN - 1611-8189

pISSN - 1611-8170

DOI - 10.1002/anac.200310019

Subject(s) - mathematics , boundary value problem , convergence (economics) , class (philosophy) , boundary (topology) , interpolation (computer graphics) , uniform convergence , mathematical analysis , symmetry (geometry) , work (physics) , geometry , radius , computer science , animation , computer graphics (images) , computer security , artificial intelligence , economics , economic growth , mechanical engineering , engineering

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. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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