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On the Numerical Solutions of the Abel's Differential Equation by Pade Series

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dc.contributor.authorGuler, Coskun
dc.date.accessioned2026-06-27T13:00:49Z
dc.date.issued2006
dc.description.abstractIn this paper, we propose a matrix method to solve the Abel's differential equation in terms of Taylor polynomials and a formula for calculation of mth order derivative of y(n). Moreover, numerical solutions of Abel's differential equation has been presented by Pade approximation. The solution is calculated in the form of a series with easily computable components. The numerical results show the effectiveness of the method for this type of equation. Comparing the method with some known techniques indicates that the present approach is relatively easy and highly accurate.en
dc.identifier.eissn0973-7545
dc.identifier.endpage121
dc.identifier.issn0973-1377
dc.identifier.issueD06
dc.identifier.startpage110
dc.identifier.urihttps://hdl.handle.net/20.500.14981/48973
dc.identifier.volume6
dc.identifier.wos000422310600011
dc.language.isoeng
dc.publisherCENTRE ENVIRONMENT SOCIAL & ECONOMIC RESEARCH PUBL-CESER
dc.relation.ispartofINTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS
dc.subjectAbel's differential equation
dc.subjectTaylor matrix method
dc.subjectPade approximation
dc.subjectnon linear differential equations
dc.subjectMathematics
dc.titleOn the Numerical Solutions of the Abel's Differential Equation by Pade Series
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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