RATIONAL APPROXIMANTS GENERATED BY THE U-TRANSFORM

Dhiranjan Roy

doi:10.1016/0010-4655(93)90141-X

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RATIONAL APPROXIMANTS GENERATED BY THE U-TRANSFORM

1993-12-01

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Dhiranjan Roy *

Ranjan Bhattacharya

Siddhartha Bhowmick

DOI：10.1016/0010-4655(93)90141-X

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Abstract

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Rational approximants of some functions are generated from their respective infinite power series expansions using the nonlinear sequence transform u. The fidelity of the u-approximant is observed to be generally better than the standard Pade approximant except when a function has both poles and zeros. Comparison is also made between the two types of approximants in obtaining approximate closed form solutions of ordinary differential equations for both initial value and boundary value problems.

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