Regularization of the Cauchy problem for matrix factorizations of the Helmholtz equation
Main publications:
D. A. Juraev, S. Noeiaghdam, “Regularization of the Ill-Posed Cauchy Problem for Matrix Factorizations of the Helmholtz Equation on the Plane”, Axioms, 10:1 (2021), 1–14
D. A. Juraev, “Solution of the ill-posed Cauchy problem for matrix factorizations of the Helmholtz equation on the plane”, Global and Stochastic Analysis, 8:3 (2021), 1–17
D. A. Juraev, S. Noeiaghdam, “Modern Problems of Mathematical Physics and Their Applications”, Axioms, 11:2 (2022), 1–6
D. A. Juraev, Y. S. Gasimov, “On the regularization Cauchy problem for matrix factorizations of the Helmholtz equation in a multidimensional bounded domain”, Azerbaijan Journal of Mathematics, 12:1 (2022), 142–161
D. A. Juraev, S. Noeiaghdam, Modern Problems of Mathematical Physics and Their Applications, MDPI, Alban-Anlage 66 4052 Basel. Switzerland, 2022
E. E. Elsayed, M. R. Hayal, I. Nurhidayat, M. A. Shah, A. Elfikky, A. I. Boghdady, D. A. Juraev, M. A. Morsy, “Coding techniques for diversity enhancement of dense wavelength division multiplexing MIMO-FSO fault protection protocols systems over atmospheric turbulence channels”, IET Optoelectronics, 18:1 (2024), 1–21
M. M. Abdulwahid, S. Kurnaz, A. K. Türkben, M. R. Hayal, E. E. Elsayed, D. A. Juraev, “Inter-satellite optical wireless communication (Is-OWC) trends: a review, challenges and opportunities”, Engineering Applications (ENAP), 3:1 (2024), 1–15
3.
D. A. Juraev, P. Agarwal, E. E. Elsayed, N. Targyn, “Helmholtz equations and their applications in solving physical problems”, Advanced Engineering Science, 4 (2024), 54–64
4.
D. A. Juraev, S. Noeiaghdam, P. Agarwal, R. P. Agarwal, “On the Cauchy problem for systems of linear equations of elliptic type of the first order in the space ${\mathbb R}^{m}$”, Turkish World Mathematical Society. Journal of Applied and Engineering Mathematics, 14:2 (2024), 618–632
5.
V. R. Ibrahimov, P. Agarwal, D. A. Juraev, “The way to construct innovative methods for solving initial-value problem of the Volterra integro-differential equation”, IETI Transactions on Data Analysis and Forecasting (iTDAF), 2:1 (2024), 33–47
6.
J. D. Bulnes, M. A. I. Travassos, D. A. Juraev, J. L. Bonilla, “From the Hamilton-Jacobi equation to the Schrödinger equation and vice versa, without additional terms and approximations”, Himalayan Physics, 11:1 (2024), 21–27
7.
J. C. Vanikar, A. Mohit, A. Pavate, D. A. Juraev, “Ground water flow mechanism conceptually”, Karshi Multidisciplinary International Scientific Journal, 1:1 (2024), 3–16
8.
D. A. Juraev, A. A. Tagiyeva, J. D. Bulnes, G. X.-G. Yue, “On the solution of the ill-posed Cauchy problem for elliptic systems of the first order”, Karshi Multidisciplinary International Scientific Journal, 1:1 (2024), 17–26
9.
D. A. Juraev, N. M. Mammadzada, “Fractals and its applications”, Karshi Multidisciplinary International Scientific Journal, 1:1 (2024), 27–40
10.
G. A. Aghayeva, V. R. Ibrahimov, D. A. Juraev, “On some comparision of the numerical methods applied to solve odes, Volterra integral and integro differential equations”, Karshi Multidisciplinary International Scientific Journal, 1:1 (2024), 41–48
11.
D. A. Juraev, P. Agarwal, A. Shokri, E. E. Elsayed, “Integral formula for matrix factorizations of Helmholtz equation”, Recent Trends in Fractional Calculus and Its Applications, Elsevier Science, 2024, 123–146
12.
D. A. Juraev, P. Agarwal, A. Shokri, E. E. Elsayed, “Cauchy problem for matrix factorizations of Helmholtz equation on a plane”, Recent Trends in Fractional Calculus and its Applications, Elsevier Science, 2024, 147–175
13.
D. A. Juraev, P. Agarwal, A. Shokri, E. E. Elsayed, “The Cauchy problem for matrix factorizations of Helmholtz equation in space”: Praveen Agarwal, Recent Trends in Fractional Calculus and Its Applications, Elsevier Science, 2024, 177–210
14.
D. A. Juraev, N. M. Mammadzada, P. Agarwal, Sh. Jain, “On the approximate solution of the Cauchy problem for the Helmholtz equation on the plane”, Computational Algorithms and Numerical Dimensions, 3:3 (2024), 187–200
15.
B. M. Muxammedov, A. A. Sanko, D. A. Juraev, E. E. Elsayed, “Optimizing rocket trajectories: advanced mathematical modeling in MATLAB/simulink”, International Journal of Information Technology, 16:8 (2024), 1–9
16.
D. A. Juraev, M. Israr, “Establish intelligent fault detection in electrical power system: evolutionary computation in industrial IoT environments”, International Journal of Data Informatics and Intelligent Computing, 3:4 (2024), 1–7
17.
T. Usman, N. Khan, O. Khan, D. A. Juraev, “Fractional operators and solution of fractional kinetic equations involving generalized hypergeometric function”, Palestine Journal of Mathematics, 13:3 (2024), 711–721
18.
D. A. Juraev, M. M. Cavalcanti, “Cauchy problem for matrix factorizations of the Helmholtz equation in the space ${\mathbb R}^{m}$”, Boletim da Sociedade Paranaense de Matematica, 41 (2023), 1–12
19.
D. A. Juraev, “The Cauchy problem for matrix factorization of the Helmholtz equation in a multidimensional unbounded domain”, Boletim da Sociedade Paranaense de Matematica, 41 (2023), 1–18
D. A. Juraev, V. Ibrahimov, P. Agarwal, “Regularization of the Cauchy problem for matrix factorizations of the Helmholtz equation on a two-dimensional bounded domain”, Palestine Journal of Mathematics, 12:1 (2023), 381–403
21.
D. A. Juraev, “Fundamental solution for the Helmholtz equation”, Engineering Applications, 2:2 (2023), 164–175
22.
D. A. Juraev, M. M. Jalalov, V. R. Ibrahimov, “On the formulation of the Cauchy problem for matrix factorizations of the Helmholtz equation”, Engineering Applications, 2:2 (2023), 176–189
23.
D. A. Juraev, P. Agarwal, A. Shokri, E. E. Elsayed, J. D. Bulnes, “On the solution of the ill-posed Cauchy problem for elliptic systems of the first order”, Stochastic Modelling & Computational Sciences, 3:1 (2023), 1–21
24.
J. D. Bulnes, D. A. Juraev, J. L. Bonilla, M. A. I. Travassos, “Exact decoupling of a coupled system of two stationary Schrödinger equations”, Stochastic Modelling & Computational Sciences, 3:1 (2023), 23–28
J. D. Bulnes, J. L. Bonilla, D. A. Juraev, “Klein-Gordon’s equation for magnons without non-ideal effect on spatial separation of spin waves”, Stochastic Modelling & Computational Sciences, 3:1 (2023), 29–37
N. Targyn, D. A. Juraev, “Mathematical model of the melting of micro-asperity arising in closed electrical contacts”, Stochastic Modelling & Computational Sciences, 3:1 (2023), 39–57
27.
A. S Solonar, P. A. Khmarski, A. O. Naumov, D. A. Juraev, B. Muxammedov, “The use of numerical Monte Carlo integration to verify the physical feasibility of a trajectory based on surveillance radar data”, Stochastic Modelling & Computational Sciences, 3:1 (2023), 59–73
V. R. Ibrahimov, M. N. Imanova, D. A. Juraev, “About the new way for solving some physical problems described by ODE of the second order with the special structure”, Stochastic Modelling & Computational Sciences, 3:1 (2023), 99–117
29.
D. A. Juraev, S. Noeiaghdam, P. Agarwal, “On a regularized solution of the Cauchy problem for matrix factorizations of the Helmholtz equation”, Turkish World Mathematical Society. Journal of Applied and Engineering Mathematics, 13:4 (2023), 1311–1326
30.
V. R. Ibrahimov, G. Mehdiyeva, M. N. Imanova, D. A. Juraev, “Application of the bilateral hybrid methods to solving initial - value problems for the Volterra integro-differential equations”, WSEAS Transactions on Mathematics, 22 (2023), 781–791
31.
D. A. Juraev, E. E. Elsayed, J. J. D. Bulnes, P. Agarwal, R. K. Saeed, “History of ill-posed problems and their application to solve various mathematical problems”, Engineering Applications, 2:3 (2023), 279–290
32.
D. A. Juraev, A. Shokri, P. Agarwal, E. E. Elsayed, I. Nurhidayat, “Approximate solutions of the Helmholtz equation on the plane”, Engineering Applications, 2:3 (2023), 291–303
33.
D. A. Juraev, “Theory of ill-posed problems for solving applied mathematics equations”, Center for Computer Science, Mathematics, and Engineering Physics [CCSMEP] Journal, 1:4 (2023), 1–10
34.
V. R. Ibrahimov, X. G. Yue, D. A. Juraev, “On some advantages of the predictor-corrector methods”, IETI Transactions on Data Analysis and Forecasting (iTDAF), 1:4 (2023), 79–89
35.
D. A. Juraev, S. Noeiaghdam, “Modern Problems of Mathematical Physics and Their Applications”, Axioms., 11:2 (2022), 1–6
D. A. Juraev, Y. S. Gasimov, “On the regularization Cauchy problem for matrix factorizations of the Helmholtz equation in a multidimensional bounded domain”, Azerbaijan Journal of Mathematics, 12:1 (2022), 142–161
37.
D. A. Juraev, S. Noeiaghdam, “Modern Problems of Mathematical Physics and Their Applications”, Axioms, 2022, 1–352
38.
D. A. Juraev, “On the solution of the Cauchy problem for matrix factorizations of the Helmholtz equation in a multidimensional spatial domain”, Global and Stochastic Analysis, 9:2 (2022), 1–17
39.
Yu. Fayziyev, Q. Buvaev, D. Juraev, N. Nuralieva, Sh. Sadullaeva, “The inverse problem for determining the source function in the equation with the Riemann-Liouville fractional derivative”, Global and Stochastic Analysis., 9:2 (2022), 43–52
40.
A. Shokri, M. M. Khalsaraei, S. Noeiaghdam, D. A. Juraev, “A new divided difference interpolation method for two-variable functions”, Global and Stochastic Analysis., 9:2 (2022), 19–26
41.
D. A. Juraev, “The solution of the ill-posed Cauchy problem for matrix factorizations of the Helmholtz equation in a multidimensional bounded domain”, Palestine Journal of Mathematics, 11:3 (2022), 604–613
42.
R. S. Muhammad, R. K. Saeed, D. A. Juraev, “New algorithm for computing Adomian’s polynomials to solve coupled Hirota system”, Journal of Zankoy Sulaimani – Part A. For Pure and Applied Sciences, 24:1 (2022), 38–54
43.
D. A. Juraev, A. Shokri, D. Marian, “Solution of the ill-posed Cauchy problem for systems of elliptic type of the first order”, Fractal and Fractional., 6:7 (2022), 1–11
D. A. Juraev, A. Shokri, D. Marian, “On an approximate solution of the Cauchy problem for systems of equations of elliptic type of the first order”, Entropy, 24:7 (2022), 1–18
D. A. Juraev, A. Shokri, D. Marian, “On the approximate solution of the Cauchy problem in a multidimensional unbounded domain”, Fractal and Fractional., 6:7 (2022), 1–14
46.
D. A. Juraev, A. Shokri, D. Marian, “Regularized solution of the Cauchy problem in an unbounded domain”, Symmetry, 14:8 (2022), 1–16
D. A. Juraev, S. Noeiaghdam, “Regularization of the Ill-Posed Cauchy Problem for Matrix Factorizations of the Helmholtz Equation on the Plane”, Axioms, 10:2 (2021), 1–14
D. A. Juraev, “Solution of the ill-posed Cauchy problem for matrix factorizations of the Helmholtz equation on the plane”, Global and Stochastic Analysis., 8:3 (2021), 1–17
49.
V. R. Ibrahimov, G. Yu. Mehdiyeva, Xiao-Guang Yue, Mohammed K. A. Kaabar, S. Noeiaghdam, D. A. Juraev, “Novel Symmetric Numerical Methods for Solving Symmetric Mathematical Problems”, International Journal of Circuits, Systems and Signal Processing, 15 (2021), 1545–1557
D. A. Juraev, “The solution of the ill-posed Cauchy problem for matrix factorizations of the Helmholtz equation”, Advanced Mathematical Models & Applications., 5:2 (2020), 205-221
51.
D. A. Juraev, “On a regularized solution of the Cauchy Problem for matrix factorizations of the Helmholtz equation”, Advanced Mathematical Models & Applications, 4:1 (2019) , 86-96 pp.
D. A. Zhuraev, “Cauchy Problem for Matrix Factorizations of the Helmholtz Equation”, Ukrainian Mathematical Journal, 69:10 (2018) , 1364–1371
54.
D. A. Juraev, “The Cauchy Problem for Matrix Factorizations of the Helmholtz Equation in ${\mathbb R}^{3}$”, Journal of Universal Mathematics, 1:3 (2018), 312-319
55.
D. A. Juraev, “On the Cauchy problem for matrix factorizations of the Helmholtz equation in an unbounded domain in ${\mathbb R}^{2}$”, Sib. Èlektron. Mat. Izv., 15 (2018), 1865–1877
56.
D. A. Zhuraev, “O zadache Koshi dlya matrichnykh faktorizatsii uravneniya Gelmgoltsa v ogranichennoi oblasti”, Sib. elektron. matem. izv., 15 (2018), 11–20
D. A. Zhuraev, “Regulyarizatsiya zadacha Koshi dlya sistem uravnenii ellipticheskogo tipa pervogo poryadka”, Uzbekskii matematicheskii zhurnal, 2016, no. 2, 61-71
60.
D. A. Zhuraev, “Konstruktsiya fundamentalnogo resheniya uravneniya Gelmgoltsa”, Doklady Akademii Nauk Respubliki Uzbekistan, 2012, no. 4, 14–17
61.
D. A. Juraev, “Regularization of the Cauchy problem for systems of elliptic type equations of the first order in three-dimensional unbounded domain”, Scientific enquiry in the contemporary world: theoretical basics and innovative approach, 1, Vol. 1. Physics and mathematics. L&L Publishing. Titusville, FL, USA. (2012), 10-13
Books
62.
D. A. Zhuraev, Regulyarizatsiya zadacha Koshi dlya sistem uravnenii ellipticheskogo tipa, LAP Lambert Academic Publishing, Saarbryukken: Germaniya, 2014 , 52 pp.
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