A new neural network method for solving Bratu type equations with rational polynomials
Author:
Funder
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s13042-024-02340-y.pdf
Reference33 articles.
1. Bratu G (1914) Sur les équations intégrales non linéaires. Bulletin de la Société Mathématique de France 42:113–142. https://doi.org/10.24033/bsmf.943
2. Gelfand IM (1959) Some problems in the theory of quasilinear equations. Usp. mat. nauk 14(2):87–158. https://doi.org/10.1134/s106192080601002x
3. Ascher U M, Mattheij R M, Russell RD (eds.) (1995) Numerical Solution of Boundary Value Problems for Ordinary Differential Equations. SIAM, Philadelphia . https://doi.org/10.1137/1.9781611971231
4. Buckmire R (2003) Investigations of nonstandard, mickens-type, finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates. Numer Methods Par Differ Eqs 19(3):380–398. https://doi.org/10.1002/num.10055
5. Jacobsen J, Schmitt K (2002) The liouville-bratu-gelfand problem for radial operators. J Differ Eqs 184(1):283–298. https://doi.org/10.1006/jdeq.2001.4151
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