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Series solutions of a semilinear wave equation
Author(s) -
Boumenir Amin
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5340
Subject(s) - mathematics , exponential function , series (stratigraphy) , wave equation , quadratic equation , nonlinear system , mathematical analysis , benchmark (surveying) , geometry , paleontology , physics , geodesy , quantum mechanics , biology , geography
We are concerned with the reconstruction of series solutions of a semilinear wave equation with a quadratic nonlinearity. The solution which may blow up in finite time is sought as a sum of exponential functions and is shown to be a classical one. The constructed solutions can be used to benchmark numerical methods used to approximate solutions of nonlinear equations.