An adaptive wavelet method for solving mixed-integer dynamic optimization problems with discontinuous controls and application to alkali–surfactant–polymer flooding

Abstract

The relevant physicochemical algebraic equations are shown as below: A. Alkali consumptionMany kinds of conditions can influence the alkali consumption, while only the adsorption consumption, acid consumption and heavy metal ion consumption are considered in this paper to describe the mechanism well and simply. The alkali consumption is given through the chemical reaction term 𝑟 𝑖 , which is defined as follows:

Application of Higher Order Haar Wavelet Method for Solving Nonlinear Evolution Equations

“…Recent developments in this area have lead to HWM being treated for multidimensional case [3,4,6] as well an adaptive wavelet method [23]. Other devolopments include nonuniform HWM [48], application in inverse problems [21], identification of software piracy [47], etc.…”

Solving Nonlinear Boundary Value Problems Using the Higher Order Haar Wavelet Method

“…Recent developments of the HWM cover extension to the multidimensional case [40][41][42], treatment of adaptive methods [43], nonuniform Haar wavelet method [44], inverse problems [45], identification of software piracy [46], solutions to variational problems [47] and boundary layer flow problems [48], etc.…”