Geodesic
Interpolation formula for functions with a boundary layer component and its application to derivatives calculation
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 445-455

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An interpolation formula for a function of one variable with a boundary layer component is constructed. Such function corresponds to the solution of a singular perturbed problem. The estimate of an accuracy is obtained. On a base of the constructed interpolation formula the difference formulas for derivatives of the function with a boundary layer component are obtained. Numerical resultes are discussed.
Keywords: function, boundary layer, difference formula for a derivative, accuracy estimation.
Mots-clés : nonpolynomial interpolation 
@article{SEMR_2012_9_a34,
     author = {A. I. Zadorin and N. A. Zadorin},
     title = {Interpolation formula for functions with a boundary layer component and its application to derivatives calculation},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {445--455},
     publisher = {mathdoc},
     volume = {9},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2012_9_a34/}
}
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A. I. Zadorin; N. A. Zadorin. Interpolation formula for functions with a boundary layer component and its application to derivatives calculation. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 9 (2012), pp. 445-455. http://geodesic.mathdoc.fr/item/SEMR_2012_9_a34/