TY - JOUR
T1 - Finite Volume Scheme for Multiple Fragmentation Equations
AU - RAJESH KUMAR∗ AND JITENDRA KUMAR
JO - International Journal of Numerical Analysis Modeling Series B
VL - 3
SP - 270
EP - 284
PY - 2012
DA - 2012/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/283.html
KW - Finite volume
KW - Fragmentation
KW - Convergence
KW - Particle
AB - In this paper we study a finite volume approximation for the conservative formulation of multiple fragmentation models. We investigate the convergence of the numerical solutions
towards a weak solution of the continuous problem by considering locally bounded kernels. The
proof is based on the Dunford-Pettis theorem by using the weak L^1 compactness method. The
analysis of the method allows us to prove the convergence of the discretized approximated solution
towards a weak solution to the continuous problem in a weighted L^1 space.