RESEARCH ARTICLE
Improved accuracy and convergence of homotopy-based solutions for aggregation–fragmentation models
Prakrati Kushwah,
Jitraj Saha,
Prakrati Kushwah
Department of Mathematics, National Institute of Technology Tiruchirappalli, Tiruchirappalli, Tamil Nadu, 620015 India
Search for more papers by this authorCorresponding Author
Jitraj Saha
Department of Mathematics, National Institute of Technology Tiruchirappalli, Tiruchirappalli, Tamil Nadu, 620015 India
Correspondence
Jitraj Saha, Department of Mathematics, National Institute of Technology Tiruchirappalli, Tamil Nadu, 620015, India.
Email: [email protected]
Communicated by: M. Brokate
Search for more papers by this authorPrakrati Kushwah,
Jitraj Saha,
Prakrati Kushwah
Department of Mathematics, National Institute of Technology Tiruchirappalli, Tiruchirappalli, Tamil Nadu, 620015 India
Search for more papers by this authorCorresponding Author
Jitraj Saha
Department of Mathematics, National Institute of Technology Tiruchirappalli, Tiruchirappalli, Tamil Nadu, 620015 India
Correspondence
Jitraj Saha, Department of Mathematics, National Institute of Technology Tiruchirappalli, Tamil Nadu, 620015, India.
Email: [email protected]
Communicated by: M. Brokate
Search for more papers by this authorFunding information: PK thanks Ministry of Education (MoE), Government of India, for their funding support during her PhD program. JS thanks NITT for their support through seed grant (file no.: NITT / R & C / SEED GRANT / 19 - 20 / P - 13 / MATHS / JS / E1) during this work.
Abstract
We discuss the formulation of a numerical scheme based on the homotopy method to solve different aggregation–fragmentation models including the simultaneous event. Several test cases are considered and analyzed qualitatively and quantitatively to ascertain the improved accuracy and efficiency of the proposed model over the existing semi-analytical models. The generalized solution of the truncated problem is obtained for some test cases, which in the limiting sense tends to the exact solution. A detailed convergence analysis of the scheme is also studied.
CONFLICT OF INTEREST
This work does not have any conflicts of interest.
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