AN EFFICIENT BLOCK SOLVER OF TRIGONOMETRICALLY FITTED METHOD FOR STIFF ODEs
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Abstract
Description
An efficient block solver of trigonometrically fitted method for
stiff ODEs has been developed. This block solver utilizes a special
trigonometrically fitted method as the basis function approximation
with the introduction of varying step, varying order and suitably
varying step size. The idea of interpolation and collocation is utilized out via trigonometrically fitted method. Some theoretical properties of
block solver are also investigated. To demonstrate the efficiency and
accuracy of the method, we solve some examples of stiff ODEs.
Keywords
QA Mathematics