Abstract
A nonlinear Galerkin method using spectral expansions is presented for the steady nonlinear partial differential equations. We prove the existence, uniqueness and convergence of the numerical solution corresponding to this method. Compared with the usual Galerkin method, the nonlinear Garlekin method is simpler under the same convergence accuracy.
Original language | English |
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Pages (from-to) | 320-328 |
Journal | Systems Science and Mathematical Sciences |
Volume | 10 |
Issue number | 4 |
Publication status | Published - 1997 |