Strontium titanate perovskite oxide materials offer a number of advantages in micro-electromechanical systems (MEMS) due to the micro-structural, electronic, magnetic and mechanical properties. In this paper, we report theoretical study on structural, electronic, magnetic and mechanical properties of strontium titanate perovskite oxide SrTiO 3 . This material selected as energetic substrate primarily for its dimensional stability that is relatively insensitive to environment conditions. The calculations performed using the first-principles full-potential linear muffin-tin orbital (FP-LMTO) method, under the local spin density approximation (LSDA) and plus the on-site Coulomb interaction (LSDA+ U ) scheme. The analysis of densities of states, exchange interactions and magnetic moments reveals that SrTiO 3 exhibits a semiconductor character with an energy gap of Eg = 2.68 eV, in excellent agreement with the previous experimental results.

The block-by -block method is a good self-starting method for solving Volterra Integral equations of the second kind with continuous kernel. In this paper two modifications are suggested to develop block by block method to solve Volterra integral equations with weakly singular kernels.  The idea of the product technique with higher order is used for block-by block method, which is the first modification, while the second modification is using the method on the graded nodes.  Implementation and testing of the considered algorithms have been done. The results showed that this method gives good results compared with others methods on equal spaced nodes.