Derivation Nnumerical Method by Using Trapezoidal Method to Evaluate Triple Integrations its Integrands are Continuous with Singular Derivatives. | ||
journal of kerbala university | ||
Article 1, Volume 10, Issue 1, April 2014, Pages 236-254 PDF (0 K) | ||
Abstract | ||
The main aim of this research is to derive rule to find values of triple integrals numerically, its integrands have singular partial derivatives not on the end of the region of integration by using the Trapezoidal method with the three dimension X,Y and Z . And to derive the (correction form of error terms) and we used Romberg acceleration to improve the results when the numbers of subintervals on the -dimension equal to the subintervals on the -dimension and equal to the subintervals on the -dimension. And we will use the symbol RTTT to indicate this method (T means Trapezoidal method and R Romberg acceleration) 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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