A wavelet collocation method for nonlinear Hammerstein equations is formulated. A sparsity in the Jacobian matrix is obtained which gives rise to a fast algorithm for nonlinear solvers such as the Newton’s method and the quasi-Newton method. A fast multilevel augmentation method is developed on a transformed nonlinear equation which gives an additional saving in computational time.

the municipality of tehran is intending to construct a permanent international flower exhibition. the activities for construction began in the year 2006. the exhibition has three distinct areas namely “northern area”,”southern area” and “central area”. in northern and southern area the flowers are supposed to be preserved and in central area, they will be sold out. in the present st...

due to shortage of precipitation and the spatial and periodical disparity of rainfalls, iran iscounted among the arid and semi-arid countries of the world, and therefore the water utilities have put thecontrol of consumption and efficient use of water high on their priorities. water consumption management isconsidered as a field of energy management, and the impacts of effective measure related...

With the increasing demand for heavy oil, core annular flow (CAF) is an economical method to transport and many researchers have explored energy-saving aspects of CAF method. This paper presents a review energy saving factors affecting saving. Among them, mainly concerns changes in pressure drop drag reduction efficiency; concern problem stability, issue restarting pipeline system, impact nozzl...