Punjab University Journal of Mathematics, Vol 51, No 10 (2019)

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Boundary data completion for a diffusion-reaction equation by minimizing the energy error functional and applying the conjugate gradient method

Miled EL HAJJI, Fadhel JDAY


In this paper, a boundary data completion problem for a diffusionreactionpartial differential equations (PDEs) was considered in a 2D domain.In a first step, the classical KMF (Kozlov, Maz’ya, Fomin) algorithmwas used with spectral element method to find an approximate solutionto that problem. In a second step, an alternative way was proposedby using conjugate gradient method where a symmetric positive definiteoperator was designed. Obtained results are illustrated by some numericaltests by using Matlab software.

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