Implementation of taylor collocation and adomian decomposition method for systems of ordinary differential equations

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dc.contributor.authorBildik N.
dc.contributor.authorDeniz S.
dc.date.accessioned2024-07-22T08:13:47Z
dc.date.available2024-07-22T08:13:47Z
dc.date.issued2015
dc.description.abstractThe importance of ordinary differential equation and also systems of these equations in scientific world is a crystal-clear fact. Many problems in chemistry, physics, ecology, biology can be modeled by systems of ordinary differential equations. In solving these systems numerical methods are very important because most realistic systems of these equations do not have analytic solutions in applied sciences In this study, we apply Taylor collocation method and Adomian decomposition method to solve the systems of ordinary differential equations. In these both scheme, the solution takes the form of a convergent power series with easily computable components. So, we will be able to make a comparison between Adomian decomposition and Taylor collocation methods after getting these power series. © 2015 AIP Publishing LLC.
dc.identifier.DOI-ID10.1063/1.4912591
dc.identifier.issn0094243X
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/16417
dc.language.isoEnglish
dc.publisherAmerican Institute of Physics Inc.
dc.subjectNumerical analysis
dc.subjectNumerical methods
dc.subjectAdomian decomposition
dc.subjectAdomian Decomposition Method
dc.subjectAnalytic solution
dc.subjectCollocation method
dc.subjectComputable components
dc.subjectRealistic systems
dc.subjectSystem of ordinary differential equations
dc.subjectSystems of ordinary differential equations
dc.subjectOrdinary differential equations
dc.titleImplementation of taylor collocation and adomian decomposition method for systems of ordinary differential equations
dc.typeConference paper

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