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Please use this identifier to cite or link to this item: http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17635
Title: Convergence and error estimation of weighted finite volume scheme for coagulation-fragmentation equation
Authors: Kumar, Rajesh
Keywords: Mathematics
Coagulation-fragmentation equation
Numerical simulations
Issue Date: Dec-2022
Publisher: Wiley
Abstract: This article is dedicated to analyze a finite volume scheme for solving coagulation and multiple fragmentation equation. The rates of coagulation and fragmentation are chosen locally bounded and unbounded (singularity near the origin), respectively. It is shown that using weak compactness method, the numerically approximated solution tends to the weak solution of the continuous problem under a stability condition on the time step for non-uniform mesh. Further, considering a uniform mesh, first order error approximation is demonstrated when kernels are in space. The accuracy of the scheme is also authenticated numerically for several test problems.
URI: https://onlinelibrary.wiley.com/doi/10.1002/num.22978
http://dspace.bits-pilani.ac.in:8080/jspui/handle/123456789/17635
Appears in Collections:Department of Mathematics

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