On solving non-homogeneous partial differential equations with right-hand side defined on the grid

DOI10.35634/VM210307OpenAlexW3203520155WikidataQ115220432 ScholiaQ115220432MaRDI QIDQ5037473

O. N. Ul'yanov, L. I. Rubina

Publication date: 1 March 2022

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu780

zbMATH Keywords

partial differential equationsextended system of characteristics equationsreduction of PDEs to ODE systemssolution of initial and boundary value problems

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Representations of solutions to partial differential equations (35C99) Numerical analysis (65-XX)

Cites Work

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• Modeling and simulation of laser processing of particulate-functionalized materials
• A weakly nonlinear, energy stable scheme for the strongly anisotropic Cahn-Hilliard equation and its convergence analysis
• A fully divergence-free finite element method for magnetohydrodynamic equations
• On one approach to solving nonhomogeneous partial differential equations

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