Grace O. Akinlabi, Raphael B. Adeniyi, "Sixth-Order and Fourth-Order Hybrid Boundary Value Methods for Systems of Boundary Value Problems," WSEAS Transactions on Mathematics, vol. 17, pp. 258-264, 2018, DOI:
Grace O. Akinlabi, Raphael B. Adeniyi. Sixth-Order and Fourth-Order Hybrid Boundary Value Methods for Systems of Boundary Value Problems.
WSEAS Transactions on Mathematics. 2018;17:258-264.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 17, 2018
Sixth-Order and Fourth-Order Hybrid Boundary Value Methods for Systems of Boundary Value Problems
Authors: ,
Abstract: Hybrid Boundary Value Methods (HyBVMs) are a new class of Boundary Value Methods (BVMs) proposed recently for the approximation of Ordinary Differential Equations (ODEs). These new schemes behave just like the BVMs as the HyBVMs are also based on the Linear Multistep Methods (LMMs) but utilizes data at both step and off-step points. Numerical tests on both linear and nonlinear Boundary Value Problems (BVPs) were presented using the HyBVMs of order 6 and order 4. The results were compared with the symmetric schemes: Extended Trapezoidal Rules (ETRs) of order 6 and order 4.
Keywords:
Boundary value methods, hybrid BVMs, boundary value problems, linear multistep method, numerical methods for ODEs
Pages: 258-264 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 17, 2018, Art. #32 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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