HARMONIC FUNDAMENTAL SOLUTIONS AND BOUNDARY INTEGRAL EQUATIONS FOR WAVE PROPAGATION IN ELASTIC, SCALAR AND POROELASTIC MEDIA
##submission.downloads##
Ushbu tadqiqot ishida turli xil muhitlar, jumladan, elastik, skalyar va g‘ovak elastik muhitlar uchun
integral tenglamalar va asosiy garmonik yechimlar o‘rganilgan. Integral tenglamalar chegaraviy
o‘zgaruvchilar nuqtai nazaridan ifodalanadi va ichki soha o‘zgaruvchilarini chegaraviy shartlarga
bog‘laydi. Ushbu ish asosiy yechimlarning chegaraviy integral tenglamalarni yechishda muhim
hisoblanadi va Chegaraviy elementlar usuli (CHEU) yordamida sonli yechimlarni ta’minlaydi. Har
bir muhit uchun tenglamalar va yechimlar keltirilgan bo‘lib, ularni hal qilish usullari va hisoblash
murakkabligini kamaytirish yo‘llari yoritilgan. Natijalar CHEU ni murakkab muhitlarga qo‘llashda
muhandislar va tadqiqotchilar uchun asosiy tushunchalarni taqdim etadi.
1. Kholmurodov A.E., Toshmurodova G. Singular solutions of one-dimensional SH wave equation in porous
media. Siberial Electronic Mathematical Reports, 2016. 300-304-p
2. Leontovich M.A. Introduction to thermodynamics. Static physics: Textbook. Village - M.: Science. 1983.-
416-p.
3. Dorovsky V.N. Equations of continuum theory of filtration. Novosibirsk, 1987, 9 p.
4. Khalatnikov I.M. Theory of superfluidity. - M.: Nauka, 1971.- 320 p.
5. Kholmurodov A.E., Imomnazarov Kh.Kh. Direct and inverse dynamic problems for the equation of SH
waves in a porous medium//Bulletin of NUUz, series mechanics-mathematics, 2006, No.2, pp. 86-91.
6. Kholmuradov A.E., Imomnazarov Kh.Kh. Direct and inverse dynamic problems for SH-waves in porous
media//Mathematical and Computer Modelling, V.45, Issues 3-4, 2007, pp. 270-280.
7. Xolmurodov, A., Matanov, M., Quzratov, M. (2024, November). Propagation of harmonic plane waves in
an elastic half-space. Field equations. In AIP Conference Proceedings (Vol. 3244, No. 1). AIP Publishing.
8. Kholmurodov, A. E., Matanov, M. C. (2024). Seismic excitation model of half-space propagation of rayleigh
waves. Ïðîáëåìû âû÷èñëèòåëüíîé è ïðèêëàäíîé ìàòåìàòèêè, (6 (62)), 45-56.
9. Matanov M. Integral equations and harmonic fundamental solutions for wave equations in poroelastic
media. SamDU ilmiy axborotnomasi No 1/2 (149) 2025
10. Xolmurodov, A. E., Matanov, M. C. (2024). Reflection of sv waves in the elastic half-space. field equations
for angles of incidence less than the critical one: Reflection of sv waves in the elastic half-space. field
equations for angles of incidence less than the critical one. MODERN PROBLEMS AND PROSPECTS
OF APPLIED MATHEMATICS, 1(01).
Mulkiiyat (c) 2025 «O‘zMU XABARLARI»
Ushbu ish quyidagi litsenziya asosida ruxsatlangan Kreativ Commons Attribution-NonCommercial-ShareAlike 4.0 International litsenziyasi asosida bu ish ruxsatlangan..
.jpg)
.png)
