The element-free Galerkin method is employed for two-dimensional analysis of steady-state heat transfer. The unknown response of the system, i.e. temperature is approximated using the moving least squares technique. Numerical integration of governing simultaneous system of equations is performed by Gauss quadrature and new modified nodal integration techniques. Numerical examples and tests have...

In the present work, a theoretical analysis of the first-order of stimulatedBrillouin scattering (SBS) in a double-clad (DC) ytterbium (Yb)-doped silica fiber laserin unidirectional pumping mode is presented.An accurate simulation for calculating SBS nonlinearity is performed by considering thecoupled differential rate equations for pump, signal and Stokes powers, as wel...