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Research Article Open access CC BY 4.0

Modification on Restrictive Taylor and Padé Approximations

M. S. Abdelwahed, Tamer M. Rageh, Aisha F. Fareed, Ahmed M. Youssef

Journal of Advances in Mathematics and Computer Science · pp. 10–22 · Published 27 Sep 2022

10.9734/jamcs/2022/v37i930474

Abstract

We review Taylor approximation (TA), Padé approximation (PA), Restrictive Taylor approximation (RTA) and Restrictive Padé approximation (RPA). After comparing these four approximation methods with two other modified approximation methods: Modified Restrictive Taylor approximation (MRTA) and Modified Restrictive Padé approximation (MRPA), we give test examples to illustrate how the modified approximations could be used. The mathematical principles behind all these approximations could be applied for the development of new computing methods.

Taylor polynomial padé approximation restrictive Taylor approximation restrictive Padé approximation modified restrictive Taylor approximation modified restrictive Padé approximation

References (5)

  1. 1 Rational approximation to formal power series [DOI]
  2. 2 High-order differential approximants [DOI]
  3. 3 Restrictive Taylor Approximation for Gardner and KdV Equations
  4. 4 Modified approximation for the KdV–Burgers equation [DOI]
  5. 5 On the convergence of the restrictive Padé approximation to the exact solutions of IBVP of parabolic and hyperbolic types [DOI]

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