Time‐accurate solution of advection–diffusion problems by wavelet‐Taylor–Galerkin method | Zendy

Mehra Mani | Zendy; Kumar B. V. Rathish | Zendy

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Time‐accurate solution of advection–diffusion problems by wavelet‐Taylor–Galerkin method

Author(s) -

Mehra Mani,

Kumar B. V. Rathish

Publication year - 2005

Publication title -

communications in numerical methods in engineering

Language(s) - English

Resource type - Journals

eISSN - 1099-0887

pISSN - 1069-8299

DOI - 10.1002/cnm.750

Subject(s) - discretization , taylor series , wavelet , advection , galerkin method , generalization , mathematics , diffusion , series (stratigraphy) , numerical analysis , mathematical analysis , computer science , finite element method , physics , geology , artificial intelligence , paleontology , thermodynamics

In this paper we propose a wavelet Taylor–Galerkin method for the numerical solution of time‐dependent advection–diffusion problems. The discretization in time is performed before the spatial discretization by introducing second‐ and third‐order accurate generalization of the standard time stepping schemes with the help of Taylor series expansions in time step. Numerical schemes taking advantage of the wavelet bases capabilities to compress both functions and operators are presented. Numerical examples demonstrate the efficiency of our approach. Copyright © 2005 John Wiley & Sons, Ltd.

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