Título
A block hybrid integrator for numerically solving fourth-order Initial Value Problems.
Autor(es)
Palabras clave
Fourth order Initial Value Problem
Block method
Finite differences
Linear Multistep Hybrid method
Clasificación UNESCO
Fecha de publicación
2019
Editor
Elsevier
Citación
Mark I. Modebei, Rapheal B. Adeniyi, Samuel N. Jator, Higinio Ramos, A block hybrid integrator for numerically solving fourth-order Initial Value Problems, Applied Mathematics and Computation, Volume 346, 2019, Pages 680-694, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2018.10.080. (https://www.sciencedirect.com/science/article/pii/S0096300318309548)
Resumen
[EN]A Linear Multistep Hybrid Block method with four intra-step grid points is presented for approximating directly the solution of fourth order Initial Value Problems (IVPs). Multiple Finite Difference formulas are derived and combined in a block formulation to form a numerical integrator that provides direct solution to fourth order IVPs over sub-intervals. The properties and convergence of the proposed method are discussed. The superiority of this method over existing methods is established numerically on different test problems.
URI
ISSN
0096-3003
DOI
10.1016/j.amc.2018.10.080
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