Generalized Quasilinearization for Nonlinear Three-Point Boundary Value Problems With Nonlocal Conditions

We apply the generalized quasilinearization technique to obtain a monotone sequence of iterates converging quadratically to the unique solution of a general second order nonlinear differential equation with nonlinear nonlocal mixed three-point boundary conditions. The convergence of order $n ~(n\ge2...

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Bibliographic Details
Published inSarajevo journal of mathematics Vol. 3; no. 2; pp. 171 - 184
Main Author Ahmad, Bashir
Format Journal Article
LanguageEnglish
Published 12.06.2024
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ISSN1840-0655
2233-1964
2233-1964
DOI10.5644/SJM.03.2.04

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Summary:We apply the generalized quasilinearization technique to obtain a monotone sequence of iterates converging quadratically to the unique solution of a general second order nonlinear differential equation with nonlinear nonlocal mixed three-point boundary conditions. The convergence of order $n ~(n\ge2)$ of the sequence of iterates has also been established.   2000 Mathematics Subject Classification. 34B10, 34B15
ISSN:1840-0655
2233-1964
2233-1964
DOI:10.5644/SJM.03.2.04