Chin, P.W.M. (Pius Wiysanyuy Molo)Djoko, J.K. (Jules Kamdem)Lubuma, Jean M.-S.2011-04-282011-04-282010-05Chin, PWM, Djoko, JK & Lubuma, JMS 2010, 'Reliable numerical schemes for a linear difusion', Applied Mathematics Letters, vol. 23, no. 5, pp. 544-548. [www.elsevier.com/locate/aml]0893-96591873-5452 (online)10.1016/j.aml.2010.01.008http://hdl.handle.net/2263/16371The solution of a linear reaction–diffusion equation on a non-convex polygon is proved to be globally regular in a suitable weighted Sobolev space. This result is used to design an optimally convergent Fourier-Finite Element Method (FEM) where the mesh size is suitably refined. Furthermore, the coupled Non-Standard Finite Difference Method (NSFDM)-FEM is presented as a reliable scheme that replicates the essential properties of the exact solution.en© 2010 Elsevier Ltd. All rights reserved.SingularityRegularityNon-standard finite difference methodHeat equationFourier seriesFinite element methodPostprint Article