Improved accuracy and convergence of homotopy‐based solutions for aggregation–fragmentation models

DOI10.1002/mma.8963OpenAlexW4311936087MaRDI QIDQ6140723

Jitraj Saha, Prakrati Kushwah

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.8963

zbMATH Keywords

convergencemass conservationhomotopy analysis methodgelationaggregation-fragmentation equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Nonlinear evolution equations (47J35) Integral equations (45-XX) PDEs in connection with mechanics of particles and systems of particles (35Q70)

Cites Work

• An accurate and efficient discrete formulation of aggregation population balance equation
• Homotopy perturbation method: a new nonlinear analytical technique
• Adomian decomposition method for solving fragmentation and aggregation population balance equations
• The singular coagulation equation with multiple fragmentation
• Numerical simulation and convergence analysis of a finite volume scheme for solving general breakage population balance equations
• Comparison between the homotopy analysis method and homotopy perturbation method
• MOMENT PRESERVING FINITE VOLUME SCHEMES FOR SOLVING POPULATION BALANCE EQUATIONS INCORPORATING AGGREGATION, BREAKAGE, GROWTH AND SOURCE TERMS
• A combined model of aggregation, fragmentation, and exchange processes: insights from analytical calculations
• Beyond Perturbation
• Analytical approach for solving population balances: a homotopy perturbation method
• Anderson acceleration method of finding steady-state particle size distribution for a wide class of aggregation-fragmentation models

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