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Developing Clean Technology through Approximate Solutions of Mathematical Models
In this paper, the role of mathematical modeling in the development of clean technology has been considered.
One method each for obtaining approximate solutions of mathematical models by ordinary differential equations
and partial differential equations respectively arising from the modeling of systems and physical phenomena has
been considered. The construction of continuous hybrid methods for the numerical approximation of the solutions
of initial value problems of ordinary differential equations as well as homotopy analysis method, an approximate
analytical method, for the solution of nonlinear partial differential equations are discussed
rational homotopy of mapping spaces
In this paper we describe explicit algebras modeling the rational
homotopy type of any component of the spaces \map(X,Y) and \map^*(X,Y) of
free and pointed maps between the finite nilpotent CW-complex and the
finite type nilpotent CW-complex . When is of finite type, non
necessarily finite, we also show that the algebraic covers of these
algebras model the universal covers of the corresponding mapping spaces.Comment: 19 page
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