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