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Approximation of the solutions and diffusion flows of singularly perturbed boundary-value problems with discontinuous initial conditions

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Publication:1264654
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zbMath0915.65098MaRDI QIDQ1264654

G. I. Shishkin

Publication date: 16 June 1999

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

singular perturbationerror boundsparabolic equationdifference schemesmixed boundary conditionsdiffusion flowsdiscontinuous initial conditions


Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)


Related Items

Discrete approximations of solutions and derivatives for a singularly perturbed parabolic convection--diffusion equation., Improved Difference Scheme for a Singularly Perturbed Parabolic Reaction-Diffusion Equation with Discontinuous Initial Condition



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