journal article Dec 19, 2022

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

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.
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Details
Published
Dec 19, 2022
Vol/Issue
46(6)
Pages
7180-7200
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Cite This Article
Prakrati Kushwah, Jitraj Saha (2022). Improved accuracy and convergence of homotopy‐based solutions for aggregation–fragmentation models. Mathematical Methods in the Applied Sciences, 46(6), 7180-7200. https://doi.org/10.1002/mma.8963