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Approximate Solutions to Euler–Bernoulli Beam Type Equation

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Abstract

This article deals with Euler–Bernoulli beam type equation subject to initial and boundary conditions. Semigroup theory of bounded linear operators, Rothe’s time-discretization method and Gronwall’s inequality are used to establish approximate solutions, and proved the existence of a unique strong solution. Some error estimates have also been discussed. An example is provided to illustrate the main result.

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Acknowledgements

The second author would like to thank MHRD, Govt. of India for supporting her with a senior research fellowship.

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  1. Department of Mathematics, National Institute of Technology Silchar, Cachar, Assam, 788010, India

    Md. Maqbul & Nishi Gupta

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  1. Md. Maqbul
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  2. Nishi Gupta
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Maqbul, M., Gupta, N. Approximate Solutions to Euler–Bernoulli Beam Type Equation. Mediterr. J. Math. 18, 196 (2021). https://doi.org/10.1007/s00009-021-01833-2

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  • DOI: https://doi.org/10.1007/s00009-021-01833-2

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