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A Third Order Linearly Implicit Fractional Step Method for Semilinear Parabolic Problems

Blanca Bujanda () and Juan Carlos Jorge ()
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Blanca Bujanda: Universidad Pública de Navarra, Dpto. Matemática e Informática
Juan Carlos Jorge: Universidad Pública de Navarra, Dpto. Matemática e Informática

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 987-995 from Springer

Abstract: Abstract In this paper a new efficient linearly implicit time integrator for semilinear multidimensional parabolic problems is proposed. This method preserves the advantages, in terms of computational cost reduction, of the classical fractional step methods for linear parabolic problems.We show some numerical tests for illustrating that this method combined with standard space discretization techniques, provides efficient numerical algorithms capable of computing stable numerical solutions without restrictions between the time step and the mesh size.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_98

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DOI: 10.1007/978-3-540-34288-5_98

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