Appadu, A. RaoDjoko, J.K. (Jules Kamdem)Gidey, H.H.2017-11-202017-12Appadu, A.R., Djoko, J.K. & Gidey, H.H. A priori analysis of multilevel finite volume approximation of 1D convective Cahn–Hilliard equation. Afrika Matematika (2017) 28: 1193-1233. https://doi.org/10.1007/s13370-017-0512-x.1012-9405 (print)2190-7668 (online)10.1007/s13370-017-0512-xhttp://hdl.handle.net/2263/63204In this work, we analyze four finite volume methods for the nonlinear convective Cahn–Hilliard equation with specified initial condition and periodic boundary conditions. The methods used are: implicit one-level, explicit one-level, implicit multilevel and explicit multilevel finite volume methods. The existence and uniqueness of solution, convergence and stability of the finite volume solutions are proved. We compute L2- error and rate of convergence for all methods. We then compare the multilevel methods with the one-level methods by means of stability and CPU time. It is shown that the multilevel finite volume method is faster than the one-level method.en© African Mathematical Union and Springer-Verlag GmbH Deutschland 2017. The original publication is available at : https://link.springer.com/journal/13370.Cahn–Hilliard (CH) equationConvective Cahn–HilliardMultilevelFinite volumeConvergenceStabilityUniquenessExistencePostprint Article