Conservative compact and monotone fourth order difference schemes for quasilinear equations

MaRDI QIDQ6568976

Galina Feodos'evna Gromyko, P. P. Matus, Bakhadyr Dauletbaĭ ugly Utebaev

Publication date: 8 July 2024

Published in: Doklady Natsional'noĭ Akademii Nauk Belarusi (Search for Journal in Brave)

zbMATH Keywords

conservative difference schemereaction-diffusion equationcompact finite difference scheme

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• Convergence of an eighth-order compact difference scheme for the nonlinear Schrödinger equation
• Compact difference schemes on a three-point stencil for second-order hyperbolic equations
• Compact and monotone difference schemes for the generalized Fisher equation
• Consistent two-sided estimates for the solutions of quasilinear parabolic equations and their approximations
• Homogeneous difference schemes
• Schemes of high-order accuracy for the multi-dimensional heat conduction equation

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