We establish optimal order a priori error estimates for implicit– explicit BDF methods for abstract semilinear parabolic equations with timedependent operators in a complex Banach space setting, under a sharp condition on the non-self-adjointness of the linear operator. Our approach relies on the discrete maximal parabolic regularity of implicit BDF schemes for autonomous linear parabolic equat...

Explicit exponential integrators based on general linear methods are studied for the time discretization of quasi-linear parabolic initial-boundary value problems. Compared to other exponential integrators encountering rather severe order reductions, in general, the considered class of exponential general linear methods provides the possibility to construct schemes that retain higher-order accu...

this paper investigates the effect of different methods of carbon nanotubes distribution in a thin matrix on static and dynamic behavior of the nanocomposite. five different symmetric patterns of distribution are considered, including four parabolic patterns and a linear one. for each pattern, the effective mechanical properties of the resultant nanocomposite are calculated using the rule of mi...

Kinetics and selected variables (temperature, particle size and time) for extraction of Terminalia Catappa L Kernel Oil (TCKO) were investigated using solvent extraction. Kinetic models studied were: parabolic diffusion, power law, hyperbolic, Elovich and pseudo-second-order. In ascending order, the best-fitted models at the optimum temperature and oil yield were Elovich’s model, hyperbolic...

garbage collectors are occupationally exposed to a variety of airborne contaminants. the main objective of this study was to evaluate the respiratory health of garbage collectors. this study was carried out in fars province, south of iran. a group of 105 garbage collectors and 93 referent subjects were investigated. a standard questionnaire was administered to both groups. furthermore, subjects...