Numerical-analytical method for nonlinear equations of Kolmogorov-Petrovskii-Piskunov type
DOI10.1134/s0965542524701513MaRDI QIDQ6656379
S. V. Pikulin, S. I. Bezrodnykh
Publication date: 2 January 2025
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
singular perturbationBurgers equationKolmogorov-Petrovskii-Piskunov equationefficient numerical-analytical methodsnonlinear parabolic equations of reaction-diffusion-advection type
Nonlinear parabolic equations (35K55) KdV equations (Korteweg-de Vries equations) (35Q53) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Best approximation, Chebyshev systems (41A50) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Extrapolation to the limit, deferred corrections (65B05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical quadrature and cubature formulas (65D32) Direct numerical methods for linear systems and matrix inversion (65F05)
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