N. M. Kamoh and D. G. Gyemang and M. C. Soomiyol
Comparing the Efficiency of Simpson’s 13 and 38 Rules for the Numerical Solution of First Order Volterra IntegroDifferential Equations
136 - 140
2019
13
5
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/10010375
https://publications.waset.org/vol/149
World Academy of Science, Engineering and Technology
This paper compared the efficiency of Simpson’s 13 and 38 rules for the numerical solution of first order Volterra integrodifferential 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 selfstarting. Experimental results confirmed that the Simpson’s 38 rule is more efficient than the Simpson’s 13 rule.
Open Science Index 149, 2019