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Solving Nonstiff Higher Order Odes Using Variable Order Step Size Backward Difference Directly

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dc.contributor.authorAhmad Fadly Nurullah Rasedeeen_US
dc.contributor.authorMohamed Suleimanen_US
dc.contributor.authorZarina Bibi Ibrahimen_US
dc.date.accessioned2024-05-28T04:21:23Z
dc.date.available2024-05-28T04:21:23Z
dc.date.issued2014
dc.description.abstractThe current numerical techniques for solving a system of higher order ordinary differential equations (ODEs) directly calculate the integration coefficients at every step. Here, we propose a method to solve higher order ODEs directly by calculating the integration coefficients only once at the beginning of the integration and if required once more at the end.The formulae will be derived in terms of backward difference in a constant step size formulation.The method developed will be validated by solving some higher order ODEs directly using variable order step size. To simplify the evaluations of the integration coefficients, we find the relationship between various orders.The results presented confirmed our hypothesis.en_US
dc.identifier.citationAhmad Fadly Nurullah Rasedee, Mohamed bin Suleiman, Zarina Bibi Ibrahim, "Solving Nonstiff Higher Order Odes Using Variable Order Step Size Backward Difference Directly", Mathematical Problems in Engineering, vol. 2014, Article ID 565137, 10 pages, 2014. https://doi.org/10.1155/2014/565137en_US
dc.identifier.doi10.1155/2014/565137
dc.identifier.epage10
dc.identifier.issn1024-123X
dc.identifier.other2076-4
dc.identifier.spage1
dc.identifier.urihttps://www.hindawi.com/journals/mpe/2014/565137/
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/5317
dc.identifier.volume2014
dc.language.isoenen_US
dc.publisherHindawi Publishing Corporationen_US
dc.relation.ispartofMathematical Problems in Engineeringen_US
dc.titleSolving Nonstiff Higher Order Odes Using Variable Order Step Size Backward Difference Directlyen_US
dc.typeArticleen_US
dspace.entity.typePublication

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