A new block method with variable stepsize implementation for solving third‐order differential systems
Mufutau Ajani Rufai,
Bruno Carpentieri,
Higinio Ramos
Abstract:This article presents an efficient one‐step hybrid block method (OHBM) to solve third‐order initial value problems (IVPs). The proposed method is derived using interpolation and collocation techniques of the assumed exact solution and its derivatives. The theoretical properties of the OHBM are analyzed. An embedding‐like technique is utilized and executed in an adaptive mode to improve the performance of the proposed method. The OHBM's efficiency and accuracy are tested by solving practical application problem… Show more
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