Adomian decomposition method for solving fragmentation and aggregation population balance equations

DOI10.1007/s12190-014-0802-5zbMath1316.65117OpenAlexW1975321722MaRDI QIDQ2346497

Jitraj Saha, Randhir Singh, Jitendra Kumar

Publication date: 2 June 2015

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-014-0802-5

zbMATH Keywords

convergencenumerical examplesAdomian decomposition methodaggregation equationspopulation balance equationssemi-analytical approximationsfragmentation equationsnonlinear initial and boundary value problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Interacting particle systems in time-dependent statistical mechanics (82C22)

Related Items (13)

Approximate solutions of aggregation and breakage population balance equations ⋮ A structured coagulation-fragmentation equation in the space of radon measures: Unifying discrete and continuous models ⋮ Existence and uniqueness of mass conserving solutions to the coagulation and collision-induced breakage equation ⋮ Numerical methods for particle agglomeration and breakage in lid-driven cavity flows at low Reynolds numbers ⋮ An application of semigroup theory to the coagulation-fragmentation models ⋮ Laplace transform‐based approximation methods for solving pure aggregation and breakage equations ⋮ Improved accuracy and convergence of homotopy‐based solutions for aggregation–fragmentation models ⋮ Homotopy perturbation and Adomian decomposition methods for condensing coagulation and Lifshitz-Slyzov models ⋮ Solution of population balance equation using homotopy analysis method ⋮ Development of a mass conserving discretization technique for breakage problems and its convergence analysis ⋮ A volume-consistent discrete formulation of aggregation population balance equations ⋮ Development and Convergence Analysis of a Finite Volume Scheme for Solving Breakage Equation ⋮ A novel optimized decomposition method for Smoluchowski's aggregation equation

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