January 2014

Simulation of 4Ï€ HPGe Compton-Suppression spectrometer

Compton-suppression spectrometer is well suited to the analysis of low levels of radioactive nuclides. Monte Carlo simulations can be a powerful tool in calibrating these types of detector systems, provided enough physical information on the system is known. A simplified Compton-suppression spectrometer model using the Geant–4 simulation toolkit was discussed. The spectrometer model was tested to evaluate photo...

Author(s): M. E. Medhat and Yifang Wang

January 2014

Vectorial reduced differential transform (VRDT) method for the solution of inhomogeneous Cauchy-Riemann system

It is well known that initial-value problem for the Cauchy-Riemann system is ill-posed and the problem with such Hadamard instability cannot be solved unless the initial data are analytic. In this paper, we present the vectorial reduced differential transform (VRDT) method to solve initial-value problem for the inhomogeneous Cauchy-Riemann system with analytic data. The VRDTM solution vector achieved is in the form of...

Author(s): Tahir Naseem and Muhammad Tahir