Least Squares Technique for Solving Volterra Fractional Integro-differential Equations Based on Constructed Orthogonal Polynomials

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dc.contributor.authorOyedepo, T
dc.contributor.authorAdebisi, A. F
dc.contributor.authorUwaheren, O. A
dc.contributor.authorIshola, C. Y
dc.contributor.authorAmadiegwum, S
dc.contributor.authorLatunde, T
dc.date.accessioned2023-10-03T10:39:03Z
dc.date.available2023-10-03T10:39:03Z
dc.date.issued2020
dc.description.abstractIn this study, a new Gauss-Legendre Polynomials basis function was constructed and used for solving integro-differential difference equations using standard collocation method. An assumed approximate solution in terms of the constructed polynomial was substituted into the general class of integro-differential difference equation considered. The resulted equation was collocated at appropriate points within the interval of consideration to obtain a system of algebraic linear equations. Solving the system of equations, the unknown constant coefficients involved in the equations are obtained. The required approximate solution is obtained when the values of the constant coefficients are substituted back into the assumed approximate solution. Some numerical examples were solved to demonstrate the method.en_US
dc.identifier.citation2en_US
dc.identifier.urihttps://uilspace.unilorin.edu.ng/handle/20.500.12484/11800
dc.language.isoenen_US
dc.publisherAkamai University, Hawaii, USA.en_US
dc.relation.ispartofseries21;1
dc.subjectintegro-differential difference equations, Gauss-Legendre polynomialsen_US
dc.titleLeast Squares Technique for Solving Volterra Fractional Integro-differential Equations Based on Constructed Orthogonal Polynomialsen_US
dc.typeArticleen_US

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