AN ANALYSIS OF WATER FLOW IN SUBSURFACE ENVIRONMENT BY USING ADOMIAN DECOMPOSITION METHOD

Abstract

This paper will consider some issues closely related between mathematics and subsurface water environment [1]. They come out as an outcome of treating with random mathematical formulations in representing this phenomenon. It resulted that the mathematical and that physical formulations joint together to a single point, and hence showing a lot of problems in using mathematical and material formulations in modeling of environmental issues. In both cases, problem have come out of an epistemological level and because of careless treatment of some nonlinear and complex real-world problems. Although in some cases when the problem was physically quite simple, the mathematical picture presenting that physical problem was not always on that right way. In short account, one can observe that issues always occur directly or indirectly (a) physical problems and nonlinear (b) relation between environment and mathematics. Looking upon the first question under discussion, our observation shows that “the nonlinearity can uncover a lot, but it does not allow much to be discovered” (D.M). The later question under discussion was discussed by Winger (1960) and elaborated the effectiveness of mathematics in different fields [2].