Numerical solution of third‐order boundary value problems by using a two‐step hybrid block method with a fourth derivative. Issue 6 (3rd May 2021)

• Record Type: Journal Article
• Authors: Rufai, Mufutau Ajani; Ramos, Higinio
• Is Part Of: Computational and mathematical methods. Volume 3:Issue 6(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-05-03
• Subjects: collocation and interpolation techniques -- hybrid block method -- linear and nonlinear problems -- ordinary differential equations -- third‐order boundary value problems; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1166
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract: This article proposes a two‐step hybrid block method (TSHBM) with a fourth derivative for solving third‐order boundary value problems in ordinary differential equations. The mathematical formulation of the proposed approach depends on interpolation and collocation techniques. The order of convergence of the TSHBM is showed to be seventh‐order convergent and zero‐stable. A few numerical examples are given to evaluate its performance. Numerical outcomes show that the TSHBM scheme is more efficient than some existing numerical techniques.