Submitted:
10 July 2016
Posted:
11 July 2016
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Abstract
In this paper, we consider the development of algorithms for the solution of first order initial value problems whose solution exhibits exponential behaviour. Method of interpolation and collocation of basis function to give system of nonlinear equations which is solved for the unknown parameters to give a continuous scheme. The discrete methods recovered from the continuous scheme are implemented in block form. The stability properties of the method is verified and numerical experiments show that our method is efficient in handling these problems
Keywords:
Exponentially-fitted method
; interpolation
; collocation
; stability properties
; continuous method
; stiff problems
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