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Mathematical and computational modelling of stochastic partial differential equations applied to advanced methods

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Soomro, Inayatullah (2016) Mathematical and computational modelling of stochastic partial differential equations applied to advanced methods. Doctoral thesis, University of Central Lancashire.

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Abstract

Mathematical modelling and simulations were carried to study diblock copolymer system confined in circular annular pores, cylindrical pores and spherical pores using Cell Dynamics simulation (CDS) method employed in physically motivated discretization. The lamella, cylindrical and spherical forming systems were studied in the neutral surfaces and the wetting surfaces. To employ CDS method in polar, cylindrical and spherical coordinates, the Laplacian operators were discretized and isotropised in polar, cylindrical and spherical coordinate systems.

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