High-accuracy quasi-variable mesh method for the system of 1D quasi-linear parabolic partial differential equations based on off-step spline in compression approximations

DOI10.1186/s13662-017-1274-3zbMath1422.65175OpenAlexW2741203846WikidataQ59604819 ScholiaQ59604819MaRDI QIDQ1631982

Ranjan Kumar Mohanty, Sachin S. Sharma

Publication date: 7 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1274-3

zbMATH Keywords

Newton's iterative methodquasi-linear parabolic equationsBurgers-Fisher equationsspline in compressionquasi-variable mesh

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

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