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Section B

High-order continuous third derivative formulas with block extensions for y″=f(x, y, y′)

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Pages 1899-1914 | Received 22 Jan 2012, Accepted 08 Jan 2013, Published online: 20 Mar 2013

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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, pages 1687-1705.
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R. I. Abdulganiy, H. Ramos, S. A. Okunuga & Z. Abdul Majid. (2023) A trigonometrically fitted intra-step block Falkner method for the direct integration of second-order delay differential equations with oscillatory solutions. Afrika Matematika 34:3.
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R. I. Abdulganiy, Higinio Ramos, O. A. Akinfenwa & S. A. Okunuga. (2021) A Functionally-Fitted Block Numerov Method for Solving Second-Order Initial-Value Problems with Oscillatory Solutions. Mediterranean Journal of Mathematics 18:6.
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Ridwanulahi Iyanda Abdulganiy, Shiping Wen, Yuming Feng, Wei Zhang & Ning Tang. (2021) Adapted block hybrid method for the numerical solution of Duffing equations and related problems. AIMS Mathematics 6:12, pages 14013-14034.
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M. Farhan, Z. Omar, F. Mebarek-Oudina, J. Raza, Z. Shah, R. V Choudhari & O. D. Makinde. (2020) Implementation of the One-Step One-Hybrid Block Method on the Nonlinear Equation of a Circular Sector Oscillator. Computational Mathematics and Modeling 31:1, pages 116-132.
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Mohammad Alkasassbeh, Zurni Omar, Fateh Mebarek‐Oudina, Jawad Raza & Ali Chamkha. (2019) Heat transfer study of convective fin with temperature‐dependent internal heat generation by hybrid block method. Heat Transfer—Asian Research 48:4, pages 1225-1244.
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Mohammad Alkasassbeh & Zurni Omar. 2019. Proceedings of the Third International Conference on Computing, Mathematics and Statistics (iCMS2017). Proceedings of the Third International Conference on Computing, Mathematics and Statistics (iCMS2017) 135 146 .
Nooraini Zainuddin & Zarina Bibi Ibrahim. Block method for third order ordinary differential equations. Block method for third order ordinary differential equations.
O.A. Akinfenwa, B. Akinnukawe & S.B. Mudasiru. (2015) A family of Continuous Third Derivative Block Methods for solving stiff systems of first order ordinary differential equations. Journal of the Nigerian Mathematical Society 34:2, pages 160-168.
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