LEGENDRE FUNCTION APPROXIMATIONS OF ORDINARY DIFFERENTIAL EQUATION AND APPLICATION TO CONTINUOUS CRYSTALLIZATION PROCESSES |
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| Authors: | MAW-LING WANG RONG-YEU CHANG |
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| Affiliation: | Department of Chemical Engineering , National Tsing Hua University , Hshinchu, Taiwan, ROC |
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| Abstract: | The technique of the shifted Legendre integral transformation associated with its series expansion is applied to solve population balance equations describing the continuous crystallization processes. The ordinary differential equation of population balance is transformed into a series of algebraic equations of the expansion coefficients which can be easily solved. Illustrative examples for realistic cases are given to simulate the systems. Satisfactory computational results are obtained when are compared with those of the exact solutions. The method is straightforward and the computational algorithm is effective. |
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