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

Prakrati Kushwah; Jitraj Saha

doi:10.1002/mma.8963

journal article Dec 19, 2022

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

Prakrati Kushwah

Jitraj Saha

Mathematical Methods in the Applied Sciences Vol. 46 No. 6 pp. 7180-7200 · Wiley

View at Publisher Save 10.1002/mma.8963

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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References

Details

Published: Dec 19, 2022
Vol/Issue: 46(6)
Pages: 7180-7200
License: View

Authors

P

Prakrati Kushwah

Department of Mathematics National Institute of Technology Tiruchirappalli Tiruchirappalli Tamil Nadu 620015 India

J

Jitraj Saha

Department of Mathematics National Institute of Technology Tiruchirappalli Tiruchirappalli Tamil Nadu 620015 India

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

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

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