Abstract
This paper presents discontinuous Legendre wavelet element (DLWE) approach for solving nonlinear reaction–diffusion equation (RDE) arising in mathematical chemistry. Firstly, weak formulation of the RDE and corresponding numerical fluxes are devised by utilizing the advantages of both Legendre wavelet and discontinuous Galerkin (DG) approach. Secondly, stability and error estimates of the proposed method have been addressed. Finally, numerical experiments demonstrate the validity and utility of the DLWE method, which is also applicable to solving some other kinds of partial differential equations.
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