Asymptotic expansion of the solution for singularly perturbed boundary value problem with boundary jumps

Asymptotic expansion of the solution for singularly perturbed boundary value problem with boundary jumps

We consider the two-point integral boundary value problem with boundary jumps for third order linear integro-differential equation with the small parameter at two highest derivatives. An asymptotic expansion of the solution of the integral boundary value problem with any degree of accuracy with resp...

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2023, Vol.24 (1), p.309-324
Hauptverfasser: Erkomekovna, Mirzakulova Aziza, Kudaibergenovich, Dauylbayev Muratkhan
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic series
Boundary value problems
Differential equations
Parameters
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Zusammenfassung:We consider the two-point integral boundary value problem with boundary jumps for third order linear integro-differential equation with the small parameter at two highest derivatives. An asymptotic expansion of the solution of the integral boundary value problem with any degree of accuracy with respect to a small parameter was constructed. A justification of the asymptotic is provided.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2023.3362