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## Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method

#### Morufu Oyedunsi OLAYİWOLA [1] , A. F. ADEBISI [2] , Y. S. AROWOLO [3]

In this paper, we presented an efficient numerical method of solving Volterra integro-differential equations by applying Legendre as basis function for the solution of initial value problem of Integro-differential equations. We assumed appropriate solutions in terms of Legendre polynomial as basis function which was substituted into the class of integro-differential equations considered. This transformed the integro-differential equations and the given initial conditions into matrix equations. By collocating at point corresponding to N- systems of equations, the results obtained for some numerical examples justified the efficiency and reliability of the proposed method.
Collocation method, Legendre polynomial basis function, Volterra Integro-differential equations
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Primary Language en Engineering bahar Articles Orcid: 0000-0001-6101-1203Author: Morufu Oyedunsi OLAYİWOLA (Primary Author)Institution: Osun State University, Osogbo, NigeriaCountry: Nigeria Author: A. F. ADEBISI Institution: Department of Mathematical Sciences, Faculty of Basic and Applied Sciences, Osun State UniversityCountry: Nigeria Author: Y. S. AROWOLO Institution: Department of Mathematical Sciences, Faculty of Basic and Applied Sciences, Osun State UniversityCountry: Nigeria Publication Date : May 1, 2020
 Bibtex @research article { cankujse690396, journal = {Cankaya University Journal of Science and Engineering}, issn = {1309-6788}, eissn = {2564-7954}, address = {}, publisher = {Cankaya University}, year = {2020}, volume = {17}, pages = {41 - 51}, doi = {}, title = {Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method}, key = {cite}, author = {Olayi̇wola, Morufu Oyedunsi and Adebısı, A. F. and Arowolo, Y. S.} } APA Olayi̇wola, M , Adebısı, A , Arowolo, Y . (2020). Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method . Cankaya University Journal of Science and Engineering , 17 (1) , 41-51 . Retrieved from https://dergipark.org.tr/en/pub/cankujse/issue/54098/690396 MLA Olayi̇wola, M , Adebısı, A , Arowolo, Y . "Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method" . Cankaya University Journal of Science and Engineering 17 (2020 ): 41-51 Chicago Olayi̇wola, M , Adebısı, A , Arowolo, Y . "Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method". Cankaya University Journal of Science and Engineering 17 (2020 ): 41-51 RIS TY - JOUR T1 - Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method AU - Morufu Oyedunsi Olayi̇wola , A. F. Adebısı , Y. S. Arowolo Y1 - 2020 PY - 2020 N1 - DO - T2 - Cankaya University Journal of Science and Engineering JF - Journal JO - JOR SP - 41 EP - 51 VL - 17 IS - 1 SN - 1309-6788-2564-7954 M3 - UR - Y2 - 2020 ER - EndNote %0 Çankaya Üniversitesi Bilim ve Mühendislik Dergisi Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method %A Morufu Oyedunsi Olayi̇wola , A. F. Adebısı , Y. S. Arowolo %T Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method %D 2020 %J Cankaya University Journal of Science and Engineering %P 1309-6788-2564-7954 %V 17 %N 1 %R %U ISNAD Olayi̇wola, Morufu Oyedunsi , Adebısı, A. F. , Arowolo, Y. S. . "Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method". Cankaya University Journal of Science and Engineering 17 / 1 (May 2020): 41-51 . AMA Olayi̇wola M , Adebısı A , Arowolo Y . Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method. Cankaya University Journal of Science and Engineering. 2020; 17(1): 41-51. Vancouver Olayi̇wola M , Adebısı A , Arowolo Y . Application of Legendre Polynomial Basis Function on the Solution of Volterra Integro-Differential Equations Using Collocation Method. Cankaya University Journal of Science and Engineering. 2020; 17(1): 41-51.

Authors of the Article
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