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Approximating Non Linear Higher Order ODEs By A Three Point Block Algorithm

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dc.contributor.authorNurullah Rasedee, Ahmad Fadlyen_US
dc.contributor.authorAbdul Sathar, Mohammad Hasanen_US
dc.contributor.authorOthman, Khairil Iskandaren_US
dc.contributor.authorHamzah, Siti Raihanaen_US
dc.contributor.authorIshak, Norizarinaen_US
dc.date.accessioned2024-05-29T02:06:31Z
dc.date.available2024-05-29T02:06:31Z
dc.date.issued2021
dc.descriptionVolume 16, Issue 2en_US
dc.description.abstractDifferential equations are commonly used to model various types of real life applications. The complexity of these models may often hinder the ability to acquire an analytical solution. To overcome this drawback, numerical methods were introduced to approximate the solutions. Initially when developing a numerical algorithm, researchers focused on the key aspect which is accuracy of the method. As numerical methods becomes more and more robust, accuracy alone is not sufficient hence begins the pursuit of efficiency which warrants the need for reducing computational cost. The current research proposes a numerical algorithm for solving initial value higher order ordinary differential equations (ODEs). The proposed algorithm is derived as a three point block multistep method, developed in an Adams type formulae (3PBCS) and will be used to solve various types of ODEs and systems of ODEs. Type of ODEs that are selected varies from linear to nonlinear, artificial and real life problems. Results will illustrate the accuracy and efficiency of the proposed three point block method. Order, stability and convergence of the method are also presented in the study.en_US
dc.identifier.citationRasedee AFN, Abdul Sathar MH, Othman KI, Hamzah SR, Ishak N (2021) Approximating non linear higher order ODEs by a three point block algorithm. PLoS ONE 16(2): e0246904. https://doi. org/10.1371/journal.pone.0246904en_US
dc.identifier.doi10.1371/journal.pone.0246904
dc.identifier.epage31
dc.identifier.issn1932-6203
dc.identifier.issue2
dc.identifier.spage5
dc.identifier.urihttps://journals.plos.org/plosone/article?id=10.1371/journal.pone.0246904
dc.identifier.urihttps://oarep.usim.edu.my/handle/123456789/10366
dc.identifier.volume16
dc.language.isoen_USen_US
dc.publisherPlosen_US
dc.relation.ispartofPLOS ONEen_US
dc.titleApproximating Non Linear Higher Order ODEs By A Three Point Block Algorithmen_US
dc.typeArticleen_US
dspace.entity.typePublication

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