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DOI:
https://doi.org/10.62054/ijdm/0201.04Parole chiave:
Embedded, block methods, single-step, stiff problemsAbstract
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Riferimenti bibliografici
Aboiyar, T. & Luga, T. (2015). Derivation of Continuous Linear Multistep Method Using Hermite Polynomial as Basis Functions. American Journal of Applied Mathematics and Statistics, 6(3), 220-225. DOI: https://doi.org/10.12691/ajams-3-6-2
Abolarin, O. T., Ogunware, G. B., & Akinola, L. T. (2020). An Efficient Seven-Step block Method for Numerical Solution of SIR and Growth Model. FUOYE Journal of Engineering and Technology (FUOYEJET), 5(1), 31-35.
Abdelrahim, R., Omar Z. & Kuboye, O. J. (2016). New Hybrid Method with Three Off-step points for Solving First Order Ordinary Differential Equations. American Journal of Applied Mathematics. 13(2), 209-212. DOI: https://doi.org/10.3844/ajassp.2016.209.212
Adee, S. O., Kumleng, G. M. & Patrick, P. P. (2022). One-step Embedded Block Hybrid Method for The Solution of Stiff Initial Value Problems. Nigerian Annals of Pure and Applied Sciences. 5(1): 257-264. DOI: https://doi.org/10.5281/zenodo.6514982
Adesanya, A. O., Odekunle, M. R. & James, A. A. (2012), Order Seven Continuous Hybrid Method for The Solution of First Order Ordinary Differential Equations. Canadian Journal on Science and Engineering Mathematics. 4(3), 154-158.
Adeyefa, E. C. & Fadaka, O. (2017). A Step Block Algorithm for Solving First Order Initial Value Problems in Ordinary Differential Equations. Journal of Engineering and Technology, 1(2), 110-113. ISSN:2579-0625(online),2579-061715.
Akinfenwa, O., Jator, S. & Yoa, N. (2011). An Eight Order Backward Differentiation Formula with Continuous Coefficients for Stiff Ordinary Differential Equations. World Academy of Sciences and Technology, 7(4), 848-853.
Atabo V. O., & Adee S.O. (2022). A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations. Journal of Nigerian Society of Physical Sciences. 3, 308-333. DOI: https://doi.org/10.46481/jnsps.2021.337
Bothayna, S. H. K. & Muhammed I. S. (2019). Optimization of The One-step Block Method with Three Hybrid Points for Solving First Order Ordinary Differential Equations. Elsevier B.V. 12, 592-596. DOI: https://doi.org/10.1016/j.rinp.2018.12.015
Chu, T. M. & Hamilton, H. (1987). Parallel Solution to ODE's by Multiblock Methods. SIAM Journal on Scientific and Statistical Computing, 8(3), 342-353. DOI: https://doi.org/10.1137/0908039
Dahlquist, G. (1963). A Special Stability Problem for Linear Multistep Methods. BIT Numerical Mathematics, 3, pp. 27-43.
Endre, S. & David, F. M. (2003). An Introduction to Numerical Analysis. London: Cambridge University Press. DOI: https://doi.org/10.1017/CB09780511801181
Fotta, A. U., Alabi T.J. & Abdulqadir, B. (2015). Block Method with Hybrid Point for the Solution of First-Order Initial Value Problem of Ordinary Differential Equations. International Journal of Pure Mathematics, 3(103), pp. 511-521. DOI: http://dx.doi.org/10.12732/ijpam.v103i3.12
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