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Cylindrical Liouville-Bratu-Gelfand Problem

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Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems

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Abstract

This Chapter is devoted to finding an approximate solution to the cylindrical Liouville-Bratu-Gelfand problem, a particular boundary value problem related to the classical nonlinear Bratu problem. The Bratu problem has a rich history and served as a test for different approximate and numerical methods.

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Authors and Affiliations

  1. Department of Mechanics and Strength of Materials, Polytechnic University of Timişoara, Timişoara, Romania

    Vasile Marinca & Nicolae Herisanu

  2. Applied Electronics Department, Polytechnic University of Timişoara, Timişoara, Romania

    Bogdan Marinca

Authors
  1. Vasile Marinca
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  2. Nicolae Herisanu
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  3. Bogdan Marinca
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Correspondence to Vasile Marinca .

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Marinca, V., Herisanu, N., Marinca, B. (2021). Cylindrical Liouville-Bratu-Gelfand Problem. In: Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-75653-6_27

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