2026-09-15T15:09:08Zhttps://gredos.usal.es/oai/request

oai:gredos.usal.es:10366/1565352026-01-13T12:11:16Zcom_10366_4137com_10366_4055com_10366_3946com_10366_3823col_10366_4138

Ramos Calle, Higinio Rufai, Mufutau Ajani Linear and non-linear IVPs Ordinary and time-dependent partial differential equations Hybrid block method Variable step-size formulation Stability analysis [EN]This manuscript presents a one-step method incorporating a second-derivative applied to obtain approximate solutions of first-order initial-value problems of ordinary and time-dependent partial differential equations. The new scheme is derived through interpolation and collocation approaches, and the characteristics of the obtained method are analyzed. An embedding-like technique is considered and executed in adaptive mode to get better performance of the proposed method. The new scheme is used for solving some real-life application problems to determine its efficiency and accuracy. The numerical solutions obtained show that the proposed error estimate strategy is suitable in a variable step-size mode, robust and competitive compared with the results provided by other methods in the available literature. 2024-03-13 2024-03-13 2021 info:eu-repo/semantics/article Higinio Ramos & Mufutau Ajani Rufai (2022) An adaptive one-point second-derivative Lobatto-type hybrid method for solving efficiently differential systems, International Journal of Computer Mathematics, 99:8, 1687-1705, DOI: 10.1080/00207160.2021.1999429 0020-7160 http://hdl.handle.net/10366/156535 10.1080/00207160.2021.1999429 1029-0265 eng https://doi.org/10.1080/00207160.2021.1999429 http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Taylor and Francis