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A Uniformly Convergent Euler Matrix Method for Telegraph Equations Having Constant Coefficients

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Abstract

This paper contributes a novel framework to obtain the numerical solution of second-order linear hyperbolic telegraph equations. Using special properties of the Euler polynomials for evaluating integral and derivatives, we convert the main problems into their associated Volterra integro-differential equations. The error bound of approximation is also given. Some numerical examples are given to demonstrate the performance of the method.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science Malayer University, Malayer, Iran

    Farshid Mirzaee & Saeed Bimesl

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  1. Farshid Mirzaee
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  2. Saeed Bimesl
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Correspondence to Farshid Mirzaee.

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Mirzaee, F., Bimesl, S. A Uniformly Convergent Euler Matrix Method for Telegraph Equations Having Constant Coefficients. Mediterr. J. Math. 13, 497–515 (2016). https://doi.org/10.1007/s00009-014-0486-y

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  • DOI: https://doi.org/10.1007/s00009-014-0486-y

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