Numerical approximation of second-order boundary value problems via hybrid boundary value method

Hybrid Boundary Value Method (HyBVM) is a new scheme, which is based on Linear Multistep Method (LMM). The HyBVM is the hybrid version of the Boundary Value Methods (BVMs) which are methods derived to overcome the limitations of the LMMs. This new scheme shares the same characteristic with the Runge...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1734; no. 1; pp. 12022 - 12030
Main Authors Akinlabi, G. O., Busari, A. A., Abatan, O. G., Odunlami, O. A.
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.01.2021
Subjects
Boundary conditions
Boundary Value Method
Boundary Value Problem
Boundary value problems
Hybrid BVM
Linear Multistep Method
Physics
Runge-Kutta method
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Summary:Hybrid Boundary Value Method (HyBVM) is a new scheme, which is based on Linear Multistep Method (LMM). The HyBVM is the hybrid version of the Boundary Value Methods (BVMs) which are methods derived to overcome the limitations of the LMMs. This new scheme shares the same characteristic with the Runge Kutta method as data are utilized at off-step points. In this work, we apply this method to two second order Boundary Value Problems (BVPs) with mixed boundary conditions and the results are efficient when compared to other BVMs in literature.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1734/1/012022