An improved meshfree approach for solving nonlinear multivariate models involving aggregation, breakage, growth and source

The modeling of aggregation and collisional breakage phenomena remains largely unexplored due to nonlinearity and nonlocal nature of the model equation. This article discusses the performance and efficiency of a redefined homotopy-based method and generalized iteration method for solving bivariate aggregation-collision breakage model for several kinetic kernels. Solution for Brownian motion kernel and equi-partition of kinetic energy kernel are obtained to analyze the dynamics of bubble columns as well as the granular flow behavior. The iterative scheme is further extended to solve aggregation-breakage model with simultaneous growth and source terms. This model is also extended for solving bivariate cases.

Subjects

Aggregation

Bivariate modeling

Generalized iteration method

Improved homotopy analysis method

Nonlinear collisional breakage

DDC Class

600: Technology

510: Mathematics

519: Applied Mathematics, Probabilities

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An improved meshfree approach for solving nonlinear multivariate models involving aggregation, breakage, growth and source