Título
Block Hybrid Method for the Numerical solution of Fourth order Boundary Value Problems.
Autor(es)
Palabras clave
Fourth-order Boundary Value Problem
Block method
Multistep method
Hybrid method
Convergence analysis
Fecha de publicación
2020
Editor
Elsevier
Citación
Mark I. Modebei, S.N. Jator, Higinio Ramos, Block Hybrid Method for the Numerical solution of Fourth order Boundary Value Problems, Journal of Computational and Applied Mathematics, Volume 377, 2020, 112876, ISSN 0377-0427, https://doi.org/10.1016/j.cam.2020.112876. (https://www.sciencedirect.com/science/article/pii/S0377042720301679)
Resumen
[EN]A linear Multistep Block Hybrid Method with four off-grid points is presented for the direct approximation of the solution of fourth order Boundary Value Problems. Multiple Finite Difference formulas are derived and grouped into a unique block to form a numerical integrator to solve directly the fourth order problem, without the need to reduce it previously to a first-order system. The convergence of the proposed method is discussed. The superiority of this method over existing methods is established numerically considering different problems that have appeared in the literature.
URI
ISSN
0377-0427
DOI
10.1016/j.cam.2020.112876
Versión del editor
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