Adaptive collocation methods for the solution of partial differential equations

Brito, Paulo; Portugal, António

http://hdl.handle.net/10198/4042

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Authors

Brito, Paulo

Portugal, António

Abstract(s)

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

URI

http://hdl.handle.net/10198/4042

Citation

Brito, Paulo; Portugal, A. (2010). Adaptive collocation methods for the solution of partial differential equations. In International Joint Conferences on Computer, Information, and Systems Sciences, and Engineering (CISSE). Bridgeport. p. 499-504. ISBN 978-90-481-9111-6