Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...
In this paper, we consider a class of k-step linear multistep methods in the form (1.1) of numerical differentiation (N.D.) formulas. For each k, we have required the property of A-stability which ...
The classical discontinuous Galerkin method for a general parabolic equation is analyzed. Symmetric error estimates for schemes of arbitrary order are presented. The ...
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