Convergence analysis of sectional methods for solving aggregation population balance equations: The fixed pivot technique

摘要: Abstract In this paper, we introduce the convergence analysis of fixed pivot technique given by S. Kumar and Ramkrishna (1996)  [28] for nonlinear aggregation population balance equations which are substantial interest in many areas science: colloid chemistry, aerosol physics, astrophysics, polymer science, oil recovery dynamics, mathematical biology. particular, investigate five different types uniform non-uniform meshes turns out that is second order convergent on a smooth meshes. Moreover, it yields first locally mesh. Finally, exhibits method does not converge an oscillatory random Mathematical results also demonstrated numerically.