A Fitted Numerov Method for Singularly Perturbed Parabolic Partial Differential Equation with a Small Negative Shift Arising in Control Theory

DOI10.4208/NMTMA.2014.1316NMzbMath1313.65224OpenAlexW2915549229WikidataQ115209298 ScholiaQ115209298MaRDI QIDQ2924646

P. Pramod Chakravarthy, R. Nageshwar Rao

Publication date: 3 November 2014

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/711505410f87df8c56c86f8e7c97fac8c3987d75

zbMATH Keywords

stability numerical examples singular perturbations boundary layer finite difference parabolic partial differential equation exponentially fitted method Numerov method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Existence theories for optimal control problems involving partial differential equations (49J20)

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