A finite difference scheme for nonlinear ultra-parabolic equations

DOI10.1016/j.aml.2015.02.007zbMath1329.65188OpenAlexW2030612352MaRDI QIDQ494248

Vo Anh Khoa, Nguyen Thi Yen Ngoc, Le Trong Lan, Tuan Nguyen Huy

Publication date: 31 August 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.02.007

zbMATH Keywords

stabilityfinite difference schemelinear approximationFourier seriesultraparabolic equation

Mathematics Subject Classification ID

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) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70)

Related Items (5)

A note on iterations-based derivations of high-order homogenization correctors for multiscale semi-linear elliptic equations ⋮ Strong convergence of a linearization method for semi-linear elliptic equations with variable scaled production ⋮ Nonclassical problem for ultraparabolic equation in abstract spaces ⋮ Matrix time-extrapolation algorithm for solving semilinear parabolic problems ⋮ A note on the derivation of filter regularization operators for nonlinear evolution equations

Cites Work

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• Properties of the fundamental solutions and uniqueness theorems for the solutions of the Cauchy problem for one class of ultraparabolic equations
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