Nonlinear problems with blow-up solutions: Numerical integration based on differential and nonlocal transformations, and differential constraints

Author:

Polyanin Andrei D.ORCID,Shingareva Inna K.ORCID

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference44 articles.

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2. Diagnostics of singularities of exact solutions in computations with error control (in Russian);Alshina;Zh. Vychisl. Mat. Mat. Fiz.,2005

3. An adaptive time step procedure for a parabolic problem with blow-up;Acosta;Computing,2002

4. Ikiteiru Suugaku – Suuri Kougaku no Hatten;Moriguti,1979

5. Numerical method of estimating the blow-up time and rate of the solution of ordinary differential equations – an application to the blow-up problems of partial differential equations;Hirota;J. Comput. Appl. Math.,2006

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