Geodesic
Wavelet method for solving second-order quasilinear parabolic equations with a conservative principal part
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1629-1642 
E. M. Abbasov; O. A. Dyshin; B. A. Suleimanov. Wavelet method for solving second-order quasilinear parabolic equations with a conservative principal part. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1629-1642. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a9/
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     title = {Wavelet method for solving second-order quasilinear parabolic equations with a~conservative principal part},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A method based on wavelet transforms is proposed for finding classical solutions to initial-boundary value problems for second-order quasilinear parabolic equations. For smooth data, the convergence of the method is proved and the convergence rate of an approximate weak solution to a classical one is estimated in the space of wavelet coefficients. An approximate weak solution of the problem is found by solving a nonlinear system of equations with the help of gradient-type iterative methods with projection onto a fixed subspace of basis wavelet functions.

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