Adaptive Collocation Methods for the Solution of Partial Differential Equations
نویسندگان
چکیده
An integration algorithm that conjugates a Method of Lines (MOL) strategy based on finite differences space discretizations, with a collocation strategy based on increasing level dyadic grids is presented. It reveals potential either as a grid generation procedure and a Partial Differential Equation (PDE) integration scheme. It copes satisfactorily with a example characterized by a steep travelling wave and a example that presented a forming steep shock, which demonstrates its versatility in dealing with different types of steep moving front problems, exhibiting features like advection-diffusion, widely common in the standard Chemical Processes simulation models. Keywords-Partial Differential Equation; Numerical Methods; Adaptive Methods; Collocation Methods; Dyadic Grids
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