Jin, Bangti; Shin, Kwancheol; Zhou, Zhi Numerical recovery of a time-dependent potential in subdiffusion. (English) Zbl 07790259 Inverse Probl. 40, No. 2, Article ID 025008, 34 p. (2024). MSC: 35R30 35K20 35R11 65M32 PDFBibTeX XMLCite \textit{B. Jin} et al., Inverse Probl. 40, No. 2, Article ID 025008, 34 p. (2024; Zbl 07790259) Full Text: DOI arXiv
Kamynin, V. L. Inverse problems of finding the lower term in a multidimensional degenerate parabolic equation. (English) Zbl 07798217 J. Math. Sci., New York 274, No. 4, 493-510 (2023). MSC: 35R30 35K65 PDFBibTeX XMLCite \textit{V. L. Kamynin}, J. Math. Sci., New York 274, No. 4, 493--510 (2023; Zbl 07798217) Full Text: DOI
Ismailov, Mansur I.; Türk, Önder Direct and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary condition. (English) Zbl 1526.35318 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107519, 12 p. (2023). MSC: 35R30 35C10 35K20 35P10 65N21 PDFBibTeX XMLCite \textit{M. I. Ismailov} and \textit{Ö. Türk}, Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107519, 12 p. (2023; Zbl 1526.35318) Full Text: DOI
Kamynin, V. L. Unique solvability of direct and inverse problems for degenerate parabolic equations in the multidimensional case. (English. Russian original) Zbl 1512.35663 J. Math. Sci., New York 269, No. 1, 36-52 (2023); translation from Probl. Mat. Anal. 120, 35-49 (2023). MSC: 35R30 35K20 35K65 PDFBibTeX XMLCite \textit{V. L. Kamynin}, J. Math. Sci., New York 269, No. 1, 36--52 (2023; Zbl 1512.35663); translation from Probl. Mat. Anal. 120, 35--49 (2023) Full Text: DOI
Baglan, Irem; Kanca, Fatma; Mishra, Vishnu Narayan Solution of inverse Euler-Bernoulli problem with integral overdetermination and periodic boundary conditions. (English) Zbl 1491.35447 Iran. J. Math. Sci. Inform. 17, No. 1, 191-206 (2022). MSC: 35R30 35L35 35L76 PDFBibTeX XMLCite \textit{I. Baglan} et al., Iran. J. Math. Sci. Inform. 17, No. 1, 191--206 (2022; Zbl 1491.35447) Full Text: Link
Baglan, Irem; Kanca, Fatma Fourier method for higher dimensional inverse quasi-linear parabolic problem. (English) Zbl 07776067 Numer. Methods Partial Differ. Equations 37, No. 3, 2222-2234 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{I. Baglan} and \textit{F. Kanca}, Numer. Methods Partial Differ. Equations 37, No. 3, 2222--2234 (2021; Zbl 07776067) Full Text: DOI
Kamynin, V. L. Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class \(L_{\infty}\). (English. Russian original) Zbl 1462.35462 Comput. Math. Math. Phys. 61, No. 3, 388-402 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 3, 413-427 (2021). MSC: 35R30 35K20 35K65 PDFBibTeX XMLCite \textit{V. L. Kamynin}, Comput. Math. Math. Phys. 61, No. 3, 388--402 (2021; Zbl 1462.35462); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 3, 413--427 (2021) Full Text: DOI
Kamynin, V. L. Inverse problem of determining the absorption coefficient in a degenerate parabolic equation in the class of \(L_2\)-functions. (English. Russian original) Zbl 1448.35574 J. Math. Sci., New York 250, No. 2, 322-336 (2020); translation from Probl. Mat. Anal. 105, 121-133 (2020). MSC: 35R30 35K20 35K65 PDFBibTeX XMLCite \textit{V. L. Kamynin}, J. Math. Sci., New York 250, No. 2, 322--336 (2020; Zbl 1448.35574); translation from Probl. Mat. Anal. 105, 121--133 (2020) Full Text: DOI
Zhang, Yong-Fu; Li, Chong-Jun A class of multistep numerical difference schemes applied in inverse heat conduction problem with a control parameter. (English) Zbl 1475.65114 Inverse Probl. Sci. Eng. 27, No. 7, 887-942 (2019). Reviewer: Christian Clason (Graz) MSC: 65M32 65M30 80A23 65M06 65J20 65M15 65M12 65D05 65D07 65K10 35R30 PDFBibTeX XMLCite \textit{Y.-F. Zhang} and \textit{C.-J. Li}, Inverse Probl. Sci. Eng. 27, No. 7, 887--942 (2019; Zbl 1475.65114) Full Text: DOI
Ranjbar, Mojtaba; Aghazadeh, Mansour Collocation method based on shifted Chebyshev and radial basis functions with symmetric variable shape parameter for solving the parabolic inverse problem. (English) Zbl 1472.65119 Inverse Probl. Sci. Eng. 27, No. 3, 369-387 (2019). MSC: 65M32 65M70 65D12 65M06 65M20 65M12 41A50 35R30 PDFBibTeX XMLCite \textit{M. Ranjbar} and \textit{M. Aghazadeh}, Inverse Probl. Sci. Eng. 27, No. 3, 369--387 (2019; Zbl 1472.65119) Full Text: DOI
Ismailov, M. I.; Erkovan, S. Inverse problem of finding the coefficient of the lowest term in two-dimensional heat equation with Ionkin-type boundary condition. (English) Zbl 1430.80010 Comput. Math. Math. Phys. 59, No. 5, 791-808 (2019). MSC: 80A23 80A19 35K10 45D05 35A01 35Q92 35Q79 35P05 80M20 65M06 65D32 PDFBibTeX XMLCite \textit{M. I. Ismailov} and \textit{S. Erkovan}, Comput. Math. Math. Phys. 59, No. 5, 791--808 (2019; Zbl 1430.80010) Full Text: DOI arXiv
Kanca, Fatma; Baglan, Irem Inverse problem for Euler-Bernoulli equation with periodic boundary condition. (English) Zbl 1499.35718 Filomat 32, No. 16, 5691-5705 (2018). MSC: 35R30 35B10 35L35 35L76 PDFBibTeX XMLCite \textit{F. Kanca} and \textit{I. Baglan}, Filomat 32, No. 16, 5691--5705 (2018; Zbl 1499.35718) Full Text: DOI
Shivanian, Elyas; Jafarabadi, Ahmad An inverse problem of identifying the control function in two and three-dimensional parabolic equations through the spectral meshless radial point interpolation. (English) Zbl 1429.65220 Appl. Math. Comput. 325, 82-101 (2018). MSC: 65M32 65M06 35K15 PDFBibTeX XMLCite \textit{E. Shivanian} and \textit{A. Jafarabadi}, Appl. Math. Comput. 325, 82--101 (2018; Zbl 1429.65220) Full Text: DOI
Baglan, Irem; Kanca, Fatma; Mishra, Vishnu Narayan Determination of an unknown heat source from integral overdetermination condition. (English) Zbl 1397.65129 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1373-1382 (2018). MSC: 65M06 35K05 65M12 65M32 35K20 35K91 PDFBibTeX XMLCite \textit{I. Baglan} et al., Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 3, 1373--1382 (2018; Zbl 1397.65129) Full Text: DOI
Wen, Jin; Cheng, Jun-Feng A trace-type functional method for determination of a coefficient in an inverse heat conduction problem. (English) Zbl 1402.65106 J. Appl. Math. Inform. 35, No. 5-6, 439-447 (2017). MSC: 65M32 65M06 80A23 PDFBibTeX XMLCite \textit{J. Wen} and \textit{J.-F. Cheng}, J. Appl. Math. Inform. 35, No. 5--6, 439--447 (2017; Zbl 1402.65106) Full Text: DOI
Kamynin, V. L. Inverse problem of determining the right-hand side in a degenerating parabolic equation with unbounded coefficients. (English. Russian original) Zbl 1516.35517 Comput. Math. Math. Phys. 57, No. 5, 833-842 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 5, 832-841 (2017). MSC: 35R30 35K65 PDFBibTeX XMLCite \textit{V. L. Kamynin}, Comput. Math. Math. Phys. 57, No. 5, 833--842 (2017; Zbl 1516.35517); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 5, 832--841 (2017) Full Text: DOI
Kanca, Fatma Determination of a diffusion coefficient in a quasilinear parabolic equation. (English) Zbl 1372.35366 Open Math. 15, 77-91 (2017). MSC: 35R30 35K59 35N10 PDFBibTeX XMLCite \textit{F. Kanca}, Open Math. 15, 77--91 (2017; Zbl 1372.35366) Full Text: DOI
Kamynin, V. L. On the solvability of the inverse problem for determining the right-hand side of a degenerate parabolic equation with integral observation. (English. Russian original) Zbl 1335.35299 Math. Notes 98, No. 5, 765-777 (2015); translation from Mat. Zametki 98, No. 5, 710-724 (2015). MSC: 35R30 35B35 35K65 PDFBibTeX XMLCite \textit{V. L. Kamynin}, Math. Notes 98, No. 5, 765--777 (2015; Zbl 1335.35299); translation from Mat. Zametki 98, No. 5, 710--724 (2015) Full Text: DOI
Baglan, Irem Determination of a coefficient in a quasilinear parabolic equation with periodic boundary condition. (English) Zbl 1329.35343 Inverse Probl. Sci. Eng. 23, No. 5, 884-900 (2015). MSC: 35R30 65M32 PDFBibTeX XMLCite \textit{I. Baglan}, Inverse Probl. Sci. Eng. 23, No. 5, 884--900 (2015; Zbl 1329.35343) Full Text: DOI
Mohebbi, Akbar; Abbasi, Masoume A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point. (English) Zbl 1326.65125 Inverse Probl. Sci. Eng. 23, No. 3, 457-478 (2015). MSC: 65M32 65M06 PDFBibTeX XMLCite \textit{A. Mohebbi} and \textit{M. Abbasi}, Inverse Probl. Sci. Eng. 23, No. 3, 457--478 (2015; Zbl 1326.65125) Full Text: DOI
Bukharova, T. I.; Kamynin, V. L. Inverse problem of determining the absorption coefficient in the multidimensional heat equation with unlimited minor coefficients. (English. Russian original) Zbl 1323.35208 Comput. Math. Math. Phys. 55, No. 7, 1164-1176 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 7, 1183-1195 (2015). MSC: 35R30 35K05 PDFBibTeX XMLCite \textit{T. I. Bukharova} and \textit{V. L. Kamynin}, Comput. Math. Math. Phys. 55, No. 7, 1164--1176 (2015; Zbl 1323.35208); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 7, 1183--1195 (2015) Full Text: DOI
Grimmonprez, Marijke; Slodička, Marián Reconstruction of an unknown source parameter in a semilinear parabolic problem. (English) Zbl 1316.47061 J. Comput. Appl. Math. 289, 331-345 (2015). MSC: 47J35 65M12 65M32 35K58 PDFBibTeX XMLCite \textit{M. Grimmonprez} and \textit{M. Slodička}, J. Comput. Appl. Math. 289, 331--345 (2015; Zbl 1316.47061) Full Text: DOI
Mohebbi, Akbar A numerical algorithm for determination of a control parameter in two-dimensional parabolic inverse problems. (English) Zbl 1316.65081 Acta Math. Appl. Sin., Engl. Ser. 31, No. 1, 213-224 (2015). MSC: 65M32 35R30 35K58 65M06 65M12 PDFBibTeX XMLCite \textit{A. Mohebbi}, Acta Math. Appl. Sin., Engl. Ser. 31, No. 1, 213--224 (2015; Zbl 1316.65081) Full Text: DOI
Baglan, Irem; Kanca, Fatma An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition. (English) Zbl 1310.35244 Math. Methods Appl. Sci. 38, No. 5, 851-867 (2015). MSC: 35R30 35K59 35A01 35A02 35B30 65M06 PDFBibTeX XMLCite \textit{I. Baglan} and \textit{F. Kanca}, Math. Methods Appl. Sci. 38, No. 5, 851--867 (2015; Zbl 1310.35244) Full Text: DOI
Mehraliyev, Yashar T.; Kanca, Fatma An inverse boundary value problem for a second order elliptic equation in a rectangle. (English) Zbl 1488.35209 Math. Model. Anal. 19, No. 2, 241-256 (2014). MSC: 35J25 35R30 PDFBibTeX XMLCite \textit{Y. T. Mehraliyev} and \textit{F. Kanca}, Math. Model. Anal. 19, No. 2, 241--256 (2014; Zbl 1488.35209) Full Text: DOI
Kanca, Fatma; Baglan, Irem An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions. (English) Zbl 1456.35232 J. Inequal. Appl. 2014, Paper No. 76, 16 p. (2014). MSC: 35R30 35K20 35K59 PDFBibTeX XMLCite \textit{F. Kanca} and \textit{I. Baglan}, J. Inequal. Appl. 2014, Paper No. 76, 16 p. (2014; Zbl 1456.35232) Full Text: DOI
Kanca, Fatma; Baglan, Irem Sakinc Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition. (English) Zbl 1284.35055 Bound. Value Probl. 2013, Paper No. 28, 6 p. (2013). MSC: 35B30 35K59 35K20 PDFBibTeX XMLCite \textit{F. Kanca} and \textit{I. S. Baglan}, Bound. Value Probl. 2013, Paper No. 28, 6 p. (2013; Zbl 1284.35055) Full Text: DOI
Shamsi, M.; Dehghan, Mehdi Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method. (English) Zbl 1252.65161 Numer. Methods Partial Differ. Equations 28, No. 1, 74-93 (2012). MSC: 65M32 35K20 35R30 65M70 PDFBibTeX XMLCite \textit{M. Shamsi} and \textit{M. Dehghan}, Numer. Methods Partial Differ. Equations 28, No. 1, 74--93 (2012; Zbl 1252.65161) Full Text: DOI
Kamynin, V. L. Unique solvability of the inverse problem of determination of the leading coefficient in a parabolic equation. (English. Russian original) Zbl 1219.35360 Differ. Equ. 47, No. 1, 91-101 (2011); translation from Differ. Uravn. 47, No. 1, 92-102 (2011). MSC: 35R30 35D30 35A01 35A02 35K10 PDFBibTeX XMLCite \textit{V. L. Kamynin}, Differ. Equ. 47, No. 1, 91--101 (2011; Zbl 1219.35360); translation from Differ. Uravn. 47, No. 1, 92--102 (2011) Full Text: DOI
Yıldırım, Ahmet Variational iteration method for inverse problem of diffusion equation. (English) Zbl 1208.65142 Int. J. Numer. Methods Biomed. Eng. 26, No. 12, 1713-1720 (2010). MSC: 65M32 35K15 35R30 65M70 PDFBibTeX XMLCite \textit{A. Yıldırım}, Int. J. Numer. Methods Biomed. Eng. 26, No. 12, 1713--1720 (2010; Zbl 1208.65142) Full Text: DOI
Yang, Runsheng; Li, Yijun Numerical method for the simultaneous determination of unknown parameters in a parabolic equation. (English) Zbl 1182.65149 Int. J. Comput. Math. 87, No. 1, 150-157 (2010). MSC: 65M32 35K20 35R30 65M06 PDFBibTeX XMLCite \textit{R. Yang} and \textit{Y. Li}, Int. J. Comput. Math. 87, No. 1, 150--157 (2010; Zbl 1182.65149) Full Text: DOI
Dehghan, Mehdi; Shakeri, Fatemeh Method of lines solutions of the parabolic inverse problem with an overspecification at a point. (English) Zbl 1162.65048 Numer. Algorithms 50, No. 4, 417-437 (2009). MSC: 65M32 65M20 65M06 35K55 35R30 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{F. Shakeri}, Numer. Algorithms 50, No. 4, 417--437 (2009; Zbl 1162.65048) Full Text: DOI
Dehghan, Mehdi; Tatari, Mehdi Identifying an unknown function in a parabolic equation with overspecified data via He’s variational iteration method. (English) Zbl 1152.35390 Chaos Solitons Fractals 36, No. 1, 157-166 (2008). MSC: 35K20 35R30 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Tatari}, Chaos Solitons Fractals 36, No. 1, 157--166 (2008; Zbl 1152.35390) Full Text: DOI
Tatari, Mehdi; Dehghan, Mehdi He’s variational iteration method for computing a control parameter in a semi-linear inverse parabolic equation. (English) Zbl 1131.65084 Chaos Solitons Fractals 33, No. 2, 671-677 (2007). MSC: 65M32 65M70 35K15 35R30 PDFBibTeX XMLCite \textit{M. Tatari} and \textit{M. Dehghan}, Chaos Solitons Fractals 33, No. 2, 671--677 (2007; Zbl 1131.65084) Full Text: DOI
Dehghan, Mehdi; Tatari, Mehdi Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions. (English) Zbl 1137.65408 Math. Comput. Modelling 44, No. 11-12, 1160-1168 (2006). MSC: 65M32 35K15 35R30 65M70 65M06 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Tatari}, Math. Comput. Modelling 44, No. 11--12, 1160--1168 (2006; Zbl 1137.65408) Full Text: DOI
Tatari, Mehdi; Dehghan, Mehdi; Razzaghi, Mohsen Determination of a time-dependent parameter in a one-dimensional quasi-linear parabolic equation with temperature overspecification. (English) Zbl 1156.65315 Int. J. Comput. Math. 83, No. 12, 905-913 (2006). MSC: 65M32 PDFBibTeX XMLCite \textit{M. Tatari} et al., Int. J. Comput. Math. 83, No. 12, 905--913 (2006; Zbl 1156.65315) Full Text: DOI
Dehghan, M. Parameter determination in a partial differential equation from the overspecified data. (English) Zbl 1080.35174 Math. Comput. Modelling 41, No. 2-3, 196-213 (2005). MSC: 35R30 35K55 65M32 PDFBibTeX XMLCite \textit{M. Dehghan}, Math. Comput. Modelling 41, No. 2--3, 196--213 (2005; Zbl 1080.35174) Full Text: DOI
Dehghan, Mehdi Numerical computation of a control function in a partial differential equation. (English) Zbl 1033.65081 Appl. Math. Comput. 147, No. 2, 397-408 (2004). MSC: 65M32 35K15 65M15 35R30 65M06 49M05 93C20 PDFBibTeX XMLCite \textit{M. Dehghan}, Appl. Math. Comput. 147, No. 2, 397--408 (2004; Zbl 1033.65081) Full Text: DOI
Dehghan, Mehdi Identifying a control function in two-dimensional parabolic inverse problems. (English) Zbl 1022.65111 Appl. Math. Comput. 143, No. 2-3, 375-391 (2003). MSC: 65M32 35K15 35R30 65M06 65M12 PDFBibTeX XMLCite \textit{M. Dehghan}, Appl. Math. Comput. 143, No. 2--3, 375--391 (2003; Zbl 1022.65111) Full Text: DOI
Dehghan, Mehdi Determination of a control function in three-dimensional parabolic equations. (English) Zbl 1014.65097 Math. Comput. Simul. 61, No. 2, 89-100 (2003). MSC: 65M32 65M06 35K15 35R30 PDFBibTeX XMLCite \textit{M. Dehghan}, Math. Comput. Simul. 61, No. 2, 89--100 (2003; Zbl 1014.65097) Full Text: DOI
Dehghan, Mehdi Fourth-order techniques for identifying a control parameter in the parabolic equations. (English) Zbl 1211.65120 Int. J. Eng. Sci. 40, No. 4, 433-447 (2002). MSC: 65M32 35R30 35K20 PDFBibTeX XMLCite \textit{M. Dehghan}, Int. J. Eng. Sci. 40, No. 4, 433--447 (2002; Zbl 1211.65120) Full Text: DOI
Dehghan, Mehdi Numerical methods for two-dimensional parabolic inverse problem with energy overspecification. (English) Zbl 0986.65085 Int. J. Comput. Math. 77, No. 3, 441-455 (2001). MSC: 65M32 65M12 35K15 35R30 65M06 PDFBibTeX XMLCite \textit{M. Dehghan}, Int. J. Comput. Math. 77, No. 3, 441--455 (2001; Zbl 0986.65085) Full Text: DOI
Dehghan, Mehdi Determination of a control parameter in the two-dimensional diffusion equation. (English) Zbl 0982.65103 Appl. Numer. Math. 37, No. 4, 489-502 (2001). MSC: 65M32 65M06 35K15 35R30 PDFBibTeX XMLCite \textit{M. Dehghan}, Appl. Numer. Math. 37, No. 4, 489--502 (2001; Zbl 0982.65103) Full Text: DOI
Kamynin, V. L.; Franchini, E. An inverse problem for a higher order parabolic equation. (English. Russian original) Zbl 0937.35184 Math. Notes 64, No. 5, 590-599 (1998); translation from Mat. Zametki 64, No. 5, 680-691 (1998). MSC: 35R30 35K25 PDFBibTeX XMLCite \textit{V. L. Kamynin} and \textit{E. Franchini}, Math. Notes 64, No. 5, 590--599 (1998; Zbl 0937.35184); translation from Mat. Zametki 64, No. 5, 680--691 (1998) Full Text: DOI
Cannon, J. R.; Lin, Yanping An inverse problem of finding a parameter in a semi-linear heat equation. (English) Zbl 0727.35137 J. Math. Anal. Appl. 145, No. 2, 470-484 (1990). Reviewer: W.Freeden (Kaiserslautern) MSC: 35R30 35K60 35B30 PDFBibTeX XMLCite \textit{J. R. Cannon} and \textit{Y. Lin}, J. Math. Anal. Appl. 145, No. 2, 470--484 (1990; Zbl 0727.35137) Full Text: DOI