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Table 1 Norms of the global errors arisen in the application of different spatial finite differences and time solvers to the semi-discrete model ( 18)-( 20) with N =21, in the rectangular domain [0,1]Ă—[0,2.5]

From: Numerical solution of a diffusion problem by exponentially fitted finite difference methods

Time solver

Classical finite difference

Trigonometrical

  

finite difference

ode15s

3.17e-3

3.12e-10

EF-based explicit

unstable

unstable

RK method

  

EF-based Lobatto

3.22e-3

4.11e-12

IIIA method

 Â