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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/2926

Title: Comparing the Efficiency of Simpson’s 1/3 and 3/8 Rules for the Numerical Solution of First Order Volterra Integro-Differential Equations
Authors: Kamoh, N. M.
Gyemang, D. G.
Soomiyol, M. C.
Keywords: Collocation shifted Legendre polynomials
Simpson’s rule and Volterra integro-differential equations
Issue Date: 2019
Publisher: World Academy of Science, Engineering and Technology International Journal of Mathematical and Computational Sciences
Series/Report no.: Vol.13;No.5; Pp 136-140
Abstract: This paper compared the efficiency of Simpson’s 1/3 and 3/8 rules for the numerical solution of first order Volterra integro-differential equations. In developing the solution, collocation approximation method was adopted using the shifted Legendre polynomial as basis function. A block method approach is preferred to the predictor corrector method for being self-starting. Experimental results confirmed that the Simpson’s 3/8 rule is more efficient than the Simpson’s 1/3 rule.
URI: http://hdl.handle.net/123456789/2926
ISSN: 20703910
Appears in Collections:Computer Science

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