Solution of population balance equations via rationalized Haar functions

Abstract

PurposeThe purpose of this paper is to solve the population balance equations, by applying rationalized Haar functions, described by stretched differential equation.Design/methodology/approachAn illustrative example is given and numerical results are compared with Block‐Pulse, Wavelet‐Galerkin and Shifted‐Legendre methods.FindingsThe results show the superiority of this method in comparison with the Block‐Pulse and the weighted residual methods.Originality/valueThe paper is of value in introducing the scaled operation matrix and also the method is straightforward and suitable for digital computation.