Derivation numerical method by using simpson rule to evaluate triple integrations with singular partial derivative integrands
journal of kerbala university,
2014, Volume 10, Issue 2, Pages 219-238
AbstractThe main aim of this research is to derive rule to find values of douple integrals, numerically its integrands have singular partial derivatires not on the end of the region of integration by using theSimpsonrule with the two direction x and y. and the derive the correction error terms and we used Romberg acceleration to improve the results when the number of subintervals on the direction of dimension equal to subintervals on the direction of dimension y . and we will use the symbole RSS to indicate this method and we can depend on this method because it gave high accuracy on the results with respect to the analytical values of integrations and with little subintervals.
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