In this paper we study the convergence of the approximate solutions for the following first order problem u’(t) f(t,u(t));t [O,T],au(O)-bu(to) =c,a,b > 0, a +b > 0,t0 (0,T]. Here fI R tt is such that exists and is a continuous function for some k > 1. Under some additional conditions on -, we prove that it is possible to construct two sequences of approximate solutions converging to a solution ...

Many structured data-fitting applications require the solution of an optimization problem involving a sum over a potentially large number of measurements. Incremental gradient algorithms offer inexpensive iterations by sampling a subset of the terms in the sum; these methods can make great progress initially, but often slow as they approach a solution. In contrast, full-gradient methods achieve...

in this paper, an efficient method for solving optimal control problemsof the linear differential systems with inequality constraint is proposed. by usingnew adjustment of hat basis functions and their operational matrices of integration,optimal control problem is reduced to an optimization problem. also, the erroranalysis of the proposed method is investigated and it is proved that the order o...

Voltage profile and losses are important factors in a distribution network in which there arevariety of ways to improve them. In this paper, distributed generation (DG) is used as a solutionto improve the above characteristics. Backward/Forward Sweep load flow algorithm is used dueto the inefficiency of usual load flow algorithms because of high R/X ratio and their lack ofconvergence in distrib...

voltage profile and losses are important factors in a distribution network in which there arevariety of ways to improve them. in this paper, distributed generation (dg) is used as a solutionto improve the above characteristics. backward/forward sweep load flow algorithm is used dueto the inefficiency of usual load flow algorithms because of high r/x ratio and their lack ofconvergence in distrib...

least squares method (lsm) is an accurate and rapid method for solving some analytical andnumerical problems. this method can be used to estimate the average reservoir pressure in well testanalysis. in fact, it may be employed to estimate parameters such as permeability (k) and porevolume (vp). regarding this point, buildup, drawdown, late transient test data, modified muskatmethod, interferenc...