Convergence of the cell average technique for Smoluchowski coagulation equation

Ankik Kumar Giri, Atulya K. Nagar
2014 Mathematical Modelling and Numerical Analysis  
We present the convergence analysis of the cell average technique, introduced in [19], to solve the nonlinear continuous Smoluchowski coagulation equation. It is shown that the technique is second order accurate on uniform grids and first order accurate on non-uniform smooth (geometric) grids. As an essential ingredient, the consistency of the technique is thoroughly discussed. (2010) : 45J05, 45K05, 45L05, 65R20 Mathematics subject classification
doi:10.1051/m2an/2014035 fatcat:c3jek6reand37pqe5k7g7fkjfm