Convergence analysis of sectional methods for solving breakage population balance equations-II: the cell average technique |
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Authors: | Jitendra Kumar Gerald Warnecke |
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Institution: | 1. Institute for Analysis and Numerics, Otto-von-Guericke University Magdeburg, Universit?tsplatz 2, 39106, Magdeburg, Germany
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Abstract: | This work presents the convergence of the cell average technique (Kumar et al. in Powder Technol 179:205–228, 2007) for solving
breakage population balance equation. Similarly to our paper Kumar and Warnecke (Numerische Math, 2008) of this series, we
study convergence on four different types of meshes. A second order convergence is proved for uniform, locally uniform and
non-uniform smooth meshes. Finally the scheme is analyzed on random mesh and it is found that the scheme is only first order
accurate. Nevertheless we obtain for locally uniform as well as for random mesh one order higher accuracy than the fixed pivot
technique discussed by the authors in the first paper. All mathematical observations of convergence analysis are also validated
numerically and numerical results are compared with the results of the first part. |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 65R20 |
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