This expository article shows how the maximum likelihood estimation method and the Newton-Raphson algorithm can be used to estimate the parameters of the power-law Poisson process model used to analyze data from repairable systems .

• Advantages of the boundary element method and meshless approaches are inherited in hybrid MDDM to deal with crack problems. Cracked Reissner's plate non homogenous media is investigated by first time. High accurate/convergent solutions using Chebyshev polynomials can be obtained . Growing applications non-homogenous engineering structures require application powerful computational tools. A no...

Linear and Non-linear difference equations are appeared in many fields of applied mathematics, engineering and physical problems such as natural phenomena, social and economical systems which have essentially discrete elements. In this paper by making use of invariant functions for discrete derivatives [6], we present an analytical method to solve the general form of the n-th order non-homogeno...