Construction of solutions to PDEs using holomorphic functions of several variables

The work develops Humbert's method of solving PDEs. It applies method for constructing solutions of the three-dimensional Laplace, Helmholtz, and Poisson equations in the form of components of holomorphic functions of several variables (complex and hypercomplex). For more information see https://ejde.math.txstate.edu/Volumes/2024/71/abstr.html

Authors

Publication Details

Journal
Electronic Journal of Differential Equations
Published
2024-11-11
DOI
https://doi.org/10.58997/ejde.2024.71
Citations
1
Primary Topic
Numerical methods for differential equations
Type
article
Field-Weighted Citation Impact
0.73
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article

Construction of solutions to PDEs using holomorphic functions of several variables

Vitalii Shpakivskyi
1 citations
Electronic Journal of Differential Equations
Numerical methods for differential equations
0.73
article

Construction of solutions to PDEs using holomorphic functions of several variables

Vitalii Shpakivskyi
article en
1 citations

Abstract

The work develops Humbert's method of solving PDEs. It applies method for constructing solutions of the three-dimensional Laplace, Helmholtz, and Poisson equations in the form of components of holomorphic functions of several variables (complex and hypercomplex). For more information see https://ejde.math.txstate.edu/Volumes/2024/71/abstr.html

Electronic Journal of Differential EquationsVol. 2024(01-??)
Openalex Percentile: Top 28%
Numerical methods for differential equations
0.73
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Construction of solutions to PDEs using holomorphic functions of several variables — Vitalii Shpakivskyi · Electronic Journal of Differential Equations (2024) | TGRS Research Map | TGRS