Derivation Numerical Method by Using Trapezoidal Method to Evaluate Double Integrations Its Integrands are Continuous But with Singular Derivatives. | ||
| journal of kerbala university | ||
| Article 1, Volume 10, Issue 1, April 2014, Pages 158-170 PDF (0 K) | ||
| Abstract | ||
| The main aim of this research is to derive rule to evaluate double integrations its integrands continuous but have singularity at its derivatives on points not in the end of limits of region of integrals by using Trapezoidal method over interior dimension and exterior dimension and to find correction terms(formula of error) for it and using Romberg acceleration [2]and [3] to improve the results of integrations by depending on correction terms that we found with Romberg acceleration when the numbers of subintervals on the -dimension equal to the subintervals on the -dimension that is mean whereas is the distances on -axis and is the distances on the -axis. We named this method by RTT and this method we can depend on it to evaluate double integrations which has singular derivatives on its integrands since it gave high accuracy on the results with little subintervals. | ||
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