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A New Numerical Algorithm for Two‐Point Boundary Value Problems

Author

Listed:
  • Lihua Guo
  • Boying Wu
  • Dazhi Zhang

Abstract

We present a new numerical algorithm for two‐point boundary value problems. We first present the exact solution in the form of series and then prove that the n‐term numerical solution converges uniformly to the exact solution. Furthermore, we establish the numerical stability and error analysis. The numerical results show the effectiveness of the proposed algorithm.

Suggested Citation

  • Lihua Guo & Boying Wu & Dazhi Zhang, 2014. "A New Numerical Algorithm for Two‐Point Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:302936
    DOI: 10.1155/2014/302936
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    References listed on IDEAS

    as
    1. Bojan Orel & Andrej Perne, 2014. "Chebyshev-Fourier Spectral Methods for Nonperiodic Boundary Value Problems," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-10, June.
    2. Changming Song & Jina Li & Ran Gao, 2014. "Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth-Order Boussinesq-Type Equation," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, May.
    3. Changming Song & Jina Li & Ran Gao, 2014. "Nonexistence of Global Solutions to the Initial Boundary Value Problem for the Singularly Perturbed Sixth‐Order Boussinesq‐Type Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    4. Bojan Orel & Andrej Perne, 2014. "Chebyshev‐Fourier Spectral Methods for Nonperiodic Boundary Value Problems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
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