A block hybrid integrator for numerically solving fourth-order Initial Value Problems

Mark I. Modebei, Rapheal B. Adeniyi, Samuel N. Jator and Higinio Ramos

Applied Mathematics and Computation, 2019, vol. 346, issue C, 680-694

Abstract: 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.

Keywords: Fourth order Initial Value Problem; Block method; Finite differences; Linear Multistep Hybrid method (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:346:y:2019:i:c:p:680-694

DOI: 10.1016/j.amc.2018.10.080

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