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A Multiquadric Interpolation Method for Solving Initial Value Problems

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Abstract

In this paper, an interpolation method for solving linear differential equations was developed using multiquadric scheme. Unlike most iterative formula, this method provides a global interpolation formula for the solution. Numerical examples show that this method offers a higher degree of accuracy than Runge-Kutta formula and the iterative multistep methods developed by Hyman (1978).

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Authors and Affiliations

  1. Department of Mathematics, City University of Hong Kong, Hong Kong

    Y. C. Hon

  2. Zhejiang Provincial Institute of Estuarine and Coastal Engineering Research, China

    X. Z. Mao

Authors
  1. Y. C. Hon
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  2. X. Z. Mao
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Hon, Y.C., Mao, X.Z. A Multiquadric Interpolation Method for Solving Initial Value Problems. Journal of Scientific Computing 12, 51–55 (1997). https://doi.org/10.1023/A:1025606420187

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  • DOI: https://doi.org/10.1023/A:1025606420187

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