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Numerical Study of an Initial-Boundary Value Neumann Problem for a Singularly Perturbed Parabolic Equation

Numerical Study of an Initial-Boundary Value Neumann Problem for a Singularly Perturbed Parabolic Equation

For a singularly perturbed one-dimensional parabolic equation with a perturbation parameter ε multiplying the highest-order derivative in the equation, ε ∈ (0,1], an initial-boundary value Neumann problem is considered on a segment. In this problem, when the parameter ε tends to zero, boundary layers appear in neighborhoods of the lateral …