Novel method of particular solutions for second-order variable coefficient differential equations on a square

DOI10.3934/dcdsb.2022218OpenAlexW4312458254MaRDI QIDQ2697254

Huantian Xie, Zhaozhong Zhang, Zi-Wu Jiang, Jian-Wei Zhou

Publication date: 18 April 2023

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2022218

zbMATH Keywords

well-posednessLegendre polynomialmethod of particular solutionpolynomial basis function\textit{a-priori} error estimate

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Error bounds for boundary value problems involving PDEs (65N15) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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