Integral equations and harmonic fundamental solutions for wave equations in poroelastic media

Muhammad Matanov

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2025-yil

Annotatsiya

This study explores the integral formulations and harmonic fundamental solutions for various media, including elastodynamic, scalar, and poroelastic media. Integral formulations are expressed in terms of boundary variables, linking internal domain variables to boundary conditions. The work highlights the significance of fundamental solutions in solving boundary integral equations, enabling numerical solutions using the Boundary Element Method (BEM). Detailed derivations and applications for each medium are presented, emphasizing methods to address singularities and reduce computational complexity. The results offer foundational insights for engineers and researchers applying BEM to complex media.

Maqola ma’lumotlari
MualliflarMuhammad Matanov
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2025-03-29
Jild1
Son1
Betlar73-78
TilIngliz
Ilmiy sohaFizika-matematika
DOI10.59251/2181-1296.2025.v1.149.2.3297
Indeksga qo‘shilgan2026-09-02

Ilmiy soha

Iqtibos keltirish

APAMuhammad Matanov (2025). INTEGRAL EQUATIONS AND HARMONIC FUNDAMENTAL SOLUTIONS FOR WAVE EQUATIONS IN POROELASTIC MEDIA. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 73-78. https://doi.org/10.59251/2181-1296.2025.v1.149.2.3297
GOST (OAK)Muhammad Matanov INTEGRAL EQUATIONS AND HARMONIC FUNDAMENTAL SOLUTIONS FOR WAVE EQUATIONS IN POROELASTIC MEDIA // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2025. – T. 1, № 1. – P. 73-78. – DOI: 10.59251/2181-1296.2025.v1.149.2.3297.
MLAMuhammad Matanov. “INTEGRAL EQUATIONS AND HARMONIC FUNDAMENTAL SOLUTIONS FOR WAVE EQUATIONS IN POROELASTIC MEDIA.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 73-78, 2025. https://doi.org/10.59251/2181-1296.2025.v1.149.2.3297
ChicagoMuhammad Matanov. “INTEGRAL EQUATIONS AND HARMONIC FUNDAMENTAL SOLUTIONS FOR WAVE EQUATIONS IN POROELASTIC MEDIA.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 73-78 (2025). https://doi.org/10.59251/2181-1296.2025.v1.149.2.3297
HarvardMuhammad Matanov (2025) ‘INTEGRAL EQUATIONS AND HARMONIC FUNDAMENTAL SOLUTIONS FOR WAVE EQUATIONS IN POROELASTIC MEDIA’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(1), 73-78. https://doi.org/10.59251/2181-1296.2025.v1.149.2.3297
BibTeX
@article{muhammadmatanov2025,
  title = {INTEGRAL EQUATIONS AND HARMONIC FUNDAMENTAL SOLUTIONS FOR WAVE EQUATIONS IN POROELASTIC MEDIA},
  author = {Muhammad Matanov},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2025},
  volume = {1},
  number = {1},
  pages = {73-78},
  doi = {10.59251/2181-1296.2025.v1.149.2.3297},
  url = {https://doi.org/10.59251/2181-1296.2025.v1.149.2.3297}
}

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