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Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems

Author

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  • Osvaldo Guimarães
  • José Roberto C. Piqueira

Abstract

This work develops a computational approach for boundary and initial-value problems by using operational matrices, in order to run an evolutive process in a Hilbert space. Besides, upper bounds for errors in the solutions and in their derivatives can be estimated providing accuracy measures.

Suggested Citation

  • Osvaldo Guimarães & José Roberto C. Piqueira, 2012. "Error Upper Bounds for a Computational Method for Nonlinear Boundary and Initial-Value Problems," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-12, March.
    • Handle: RePEc:hin:jnlmpe:565896
    DOI: 10.1155/2012/565896
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