Non-linear problems with non-monotonic blow-up solutions: Non-local transformations, test problems, exact solutions, and numerical integration-Reference-Cited by-同舟云学术

Non-linear problems with non-monotonic blow-up solutions: Non-local transformations, test problems, exact solutions, and numerical integration

Published:2018-03 Issue: Volume:99 Page:258-272
ISSN:0020-7462
Container-title:International Journal of Non-Linear Mechanics
language:en
Short-container-title:International Journal of Non-Linear Mechanics

Author:

Polyanin Andrei D.,Shingareva Inna K.

Funder

Russian Foundation for Basic Research

Publisher

Elsevier BV

Subject

Applied Mathematics,Mechanical Engineering,Mechanics of Materials

Reference43 articles.

1. On the computation of blow-up;Stuart;Eur. J. Appl. Math.,1990

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

3. Methods of numerical integration of nonlinear blow-up problems on the basis of differential and nonlocal transformations;Polyanin;Vestn. NIYaU MIFI,2017

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

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

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