The Fourier problem with nonlocal boundary conditions for a class of nonlinear parabolic equations
β Scribed by N. M. Bokalo
- Publisher
- Springer US
- Year
- 1997
- Tongue
- English
- Weight
- 406 KB
- Volume
- 85
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
In the present paper, the blow up of smooth local solutions for a class of nonlinear parabolic equations u;t =β(a(u)βu) + f(x; u; q; t) (q = |βu| 2 ) with Dirichlet boundary conditions are studied. By constructing an auxiliary function and using Hopf's maximum principles on it, the su cient conditio
A difference scheme is derived for a class of nonlocal parabolic equations with natural boundary conditions by the method of reduction of order. It is shown that the scheme is uniquely solvable and unconditionally convergent with the convergence rate of order O(h 2 + z 2). A numerical example with s