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Exponential spline solutions for a class of two point boundary value problems over a semi-infinite range

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Abstract

In this paper, we developed numerical methods of order O(h 2) and O(h 4) based on exponential spline function for the numerical solution of class of two point boundary value problems over a Semi-infinite range. The present approach gives better approximations over all the existing finite difference methods. Properties of the infinite linear system are established. Convergence analysis and a bound on the approximate solution are discussed. Test problem with various kinds of boundary conditions is included to illustrate the practical usefulness and superiority of our methods.

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Authors and Affiliations

  1. Department of Physics and Engineering Mathematics, Faculty of Engineering, Tanta University, Tanta, 31521, Egypt

    W. K. Zahra

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  1. W. K. Zahra
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Correspondence to W. K. Zahra.

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Zahra, W.K. Exponential spline solutions for a class of two point boundary value problems over a semi-infinite range. Numer Algor 52, 561–573 (2009). https://doi.org/10.1007/s11075-009-9298-8

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  • DOI: https://doi.org/10.1007/s11075-009-9298-8

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