Hybrid Falkner - Type Block Methods for Solution of Second Order Boundary Value Problems

Yakusak N.S.; Adeniyi R.B.

doi:10.52589/AJMSS-I01PYJA7

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Hybrid Falkner - Type Block Methods for Solution of Second Order Boundary Value Problems

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African Journal of Mathematics and Statistics Studies

Vol. 5Issue 12022pp. 67–81Published 10 April 2022

DOI 10.52589/AJMSS-I01PYJA7

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Abstract:

Hybrid Falkner-type block methods for the general solution of second-order boundary value problem of second-order ordinary differential equations is developed base on collocation and interpolation approach and implemented as block. The resulting scheme is zero-stable, consistent and convergent with a good region of absolute stability. The tabular and graphical presentations of the numerical results to the problems considered demonstrate the effectiveness and good accuracy of the scheme in comparison with other methods.

Keywords:Second Order Ordinary Differential Equation Boundary Value problem Block Methods Hybrids Methods.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.