Nonlinear finite volume discretization for transient diffusion problems on general meshes

A nonlinear discrete duality finite volume scheme is proposed for time-dependent diffusion equations. The model example written in a new formulation giving rise to similar nonlinearities both the and potential functions. natural discretization built on this particular problem's structure. fluxes are generically approximated thanks key fractional average. point of strategy promote coercivity scheme's stability simultaneously. existence positive solutions guaranteed. theoretical convergence established using practical compactness tools. Numerical results performed order highlight second accuracy methodology positiveness distorted meshes.