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Relation between an implicit function and solutions of a singularly perturbed equation

✍ Scribed by V. P. Skripnik

Publisher
SP MAIK Nauka/Interperiodica
Year
1991
Tongue
English
Weight
321 KB
Volume
49
Category
Article
ISSN
0001-4346

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A new two-level implicit discretization
A new two-level implicit discretization of for the solution of singularly perturbed two-space dimensional non-linear parabolic equations
✍ R.K. Mohanty; Swarn Singh πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 188 KB

We propose a new two-level implicit difference method of O(k 2 + kh 2 + h 4 ) for the solution of singularly perturbed non-linear parabolic differential equation (u xx +u yy )=f (x, y, t, u, u x , u y , u t ), 0 < x, y < 1, t > 0 subject to appropriate initial and Dirichlet boundary conditions, wher