A novel optimized decomposition method for Smoluchowski's aggregation equation

S Kaushik, R Kumar - Journal of Computational and Applied Mathematics, 2023 - Elsevier
The Smoluchowski's aggregation equation has applications in the field of bio-
pharmaceuticals (Zidar et al., 2018 [1]), financial sector (Pushkin et al., 2004 [2]), aerosol …

Laplace transform‐based approximation methods for solving pure aggregation and breakage equations

S Kaushik, S Hussain, R Kumar - Mathematical Methods in the …, 2023 - Wiley Online Library
The varied applications of the aggregation and breakage equations in several fields of
science have attracted many researchers to explore accurate novel methods to calculate …

Elzaki projected differential transform method for multi-dimensional aggregation and combined aggregation-breakage equations

S Hussain, R Kumar - Journal of Computational Science, 2024 - Elsevier
Numerous real-world fields, including planetary science, bio-pharmaceutical, chemical
study, food processing industry, and many more are profoundly impacted by population …

Estimation Of Parameters And Selection Of Models Applied To Population Balance Dynamics Via Approximate Bayesian Computational

CH Moura, BM Viegas, M Tavares… - Journal of Heat and …, 2022 - jhmtr.semnan.ac.ir
Population balance models mathematically describe the particle size distribution based on
modeling physical phenomena that influence the distribution, such as aggregation, growth …

Non-linear collision-induced breakage equation: finite volume and semi-analytical methods

SK Bariwal, S Hussain, R Kumar - Acta Applicandae Mathematicae, 2024 - Springer
The non-linear collision-induced breakage equation has significant applications in
particulate processes. Two semi-analytical techniques, namely homotopy analysis method …

Studies on population balance equation involving aggregation and growth terms via symmetries

Z Pinar - International Journal of Nonlinear Sciences and …, 2021 - degruyter.com
The population balance equation (PBE) is one of the most popular integro-differential
equations modeled for several industrial processes. The solution to this equation is usually …

Elzaki Transform Based Accelerated Homotopy Perturbation Method for Multi-dimensional Smoluchowski's Coagulation and Coupled Coagulation-fragmentation …

G Arora, R Kumar, Y Mammeri - arXiv preprint arXiv:2301.03215, 2023 - arxiv.org
This article aims to establish a semi-analytical approach based on the homotopy
perturbation method (HPM) to find the closed form or approximated solutions for the …

Solving Population Balance Models via a Novel Semi-analytical Method

S Hussain, G Arora, R Kumar - International Conference on Nonlinear …, 2024 - Springer
This article uses a novel semi-analytical method called the Daftardar-Jafari method (DJM) to
solve the condensing coagulation model (CCM) and the Lifshitz-Slyozov model (LSM). Our …

Semi-analytical Solutions for Breakage and Aggregation-breakage Equations via Daftardar-Jafari Method

SK Bariwal, G Arora, R Kumar - arXiv preprint arXiv:2303.17265, 2023 - arxiv.org
The semi-analytical method obtains the solution for linear/nonlinear ODEs and PDEs in
series form. This article presents a novel semi-analytical approach named Daftardar-Jafari …

Semi-analytical Solutions for Breakage and Aggregation-Breakage Equations via Daftardar-Jafari Method

S Kumar Bariwal, G Arora, R Kumar - International Conference on …, 2024 - Springer
The semi-analytical method obtains the solution for linear/nonlinear ODEs and PDEs in
series form. This article presents a novel semi-analytical approach named Daftardar-Jafari …