Thach, Tran Ngoc; Tuan, Nguyen Huy; O’Regan, Donal Regularized solution for a biharmonic equation with discrete data. (English) Zbl 1439.65135 Evol. Equ. Control Theory 9, No. 2, 341-358 (2020). MSC: 65N20 35J40 65N12 PDFBibTeX XMLCite \textit{T. N. Thach} et al., Evol. Equ. Control Theory 9, No. 2, 341--358 (2020; Zbl 1439.65135) Full Text: DOI
Nguyen Huy Tuan; Lesnic, Daniel; Tran Quoc Viet; Vo Van Au Regularization of the semilinear sideways heat equation. (English) Zbl 1471.80004 IMA J. Appl. Math. 84, No. 2, 258-291 (2019). MSC: 80A23 35B65 35B45 35K05 35K20 35K91 65M32 35R25 35R30 PDFBibTeX XMLCite \textit{Nguyen Huy Tuan} et al., IMA J. Appl. Math. 84, No. 2, 258--291 (2019; Zbl 1471.80004) Full Text: DOI
Van Au, Vo; Phuong, Nguyen Duc; Tuan, Nguyen Huy; Zhou, Yong Some regularization methods for a class of nonlinear fractional evolution equations. (English) Zbl 1442.35530 Comput. Math. Appl. 78, No. 5, 1752-1771 (2019). MSC: 35R11 PDFBibTeX XMLCite \textit{V. Van Au} et al., Comput. Math. Appl. 78, No. 5, 1752--1771 (2019; Zbl 1442.35530) Full Text: DOI
Phuong, Nguyen Duc; Tuan, Nguyen Huy; Baleanu, Dumitru; Luc, Nguyen Hoang Regularized solution for nonlinear elliptic equations with random discrete data. (English) Zbl 1440.35115 Math. Methods Appl. Sci. 42, No. 18, 6829-6848 (2019). MSC: 35J60 35K05 PDFBibTeX XMLCite \textit{N. D. Phuong} et al., Math. Methods Appl. Sci. 42, No. 18, 6829--6848 (2019; Zbl 1440.35115) Full Text: DOI
Tuan, Nguyen Huy; Xuan, Tran Dong; Triet, Nguyen Anh; Lesnic, Daniel On the Cauchy problem for a semilinear fractional elliptic equation. (English) Zbl 1524.35724 Appl. Math. Lett. 83, 80-86 (2018). MSC: 35R11 35R30 35R25 26A33 65N12 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Appl. Math. Lett. 83, 80--86 (2018; Zbl 1524.35724) Full Text: DOI Link
Tuan, Nguyen Huy; Long, Le Dinh Fourier truncation method for an inverse source problem for space-time fractional diffusion equation. (English) Zbl 1370.35068 Electron. J. Differ. Equ. 2017, Paper No. 122, 16 p. (2017). MSC: 35B53 35R11 PDFBibTeX XMLCite \textit{N. H. Tuan} and \textit{L. D. Long}, Electron. J. Differ. Equ. 2017, Paper No. 122, 16 p. (2017; Zbl 1370.35068) Full Text: Link
Tran, Quoc Viet; Kirane, Mokhtar; Nguyen, Huy Tuan; Nguyen, Van Thinh Analysis and numerical simulation of the three-dimensional Cauchy problem for quasi-linear elliptic equations. (English) Zbl 1351.65068 J. Math. Anal. Appl. 446, No. 1, 470-492 (2017). MSC: 65M30 35J62 65T50 65M12 PDFBibTeX XMLCite \textit{Q. V. Tran} et al., J. Math. Anal. Appl. 446, No. 1, 470--492 (2017; Zbl 1351.65068) Full Text: DOI
Nguyen Huy Tuan; Vo Anh Khoa; Mach Nguyet Minh; Tran, Thanh Reconstruction of the electric field of the Helmholtz equation in three dimensions. (English) Zbl 1344.35066 J. Comput. Appl. Math. 309, 56-78 (2017). MSC: 35K05 35K99 47J06 47H10 PDFBibTeX XMLCite \textit{Nguyen Huy Tuan} et al., J. Comput. Appl. Math. 309, 56--78 (2017; Zbl 1344.35066) Full Text: DOI arXiv
Tuan, Nguyen Huy; Binh, Tran Thanh; Viet, Tran Quoc; Lesnic, Daniel On the Cauchy problem for semilinear elliptic equations. (English) Zbl 1381.35237 J. Inverse Ill-Posed Probl. 24, No. 2, 123-138 (2016). MSC: 35R25 35J25 47J25 65J20 65N15 65N20 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., J. Inverse Ill-Posed Probl. 24, No. 2, 123--138 (2016; Zbl 1381.35237) Full Text: DOI Link
Tuan, Nguyen Huy; Thang, Le Duc; Lesnic, Daniel A new general filter regularization method for Cauchy problems for elliptic equations with a locally Lipschitz nonlinear source. (English) Zbl 1328.35294 J. Math. Anal. Appl. 434, No. 2, 1376-1393 (2016). MSC: 35R25 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., J. Math. Anal. Appl. 434, No. 2, 1376--1393 (2016; Zbl 1328.35294) Full Text: DOI
Nguyen Huy Tuan; Le Duc Thang; Vo Anh Khoa A modified integral equation method of the nonlinear elliptic equation with globally and locally Lipschitz source. (English) Zbl 1410.35282 Appl. Math. Comput. 265, 245-265 (2015). MSC: 35R20 35B35 35J61 35R25 47H10 47J06 PDFBibTeX XMLCite \textit{Nguyen Huy Tuan} et al., Appl. Math. Comput. 265, 245--265 (2015; Zbl 1410.35282) Full Text: DOI arXiv
Nguyen Huy Tuan; Le Duc Thang; Dang Duc Trong; Vo Anh Khoa Approximation of mild solutions of the linear and nonlinear elliptic equations. (English) Zbl 1326.65148 Inverse Probl. Sci. Eng. 23, No. 7, 1237-1266 (2015). MSC: 65N20 47J06 PDFBibTeX XMLCite \textit{Nguyen Huy Tuan} et al., Inverse Probl. Sci. Eng. 23, No. 7, 1237--1266 (2015; Zbl 1326.65148) Full Text: DOI arXiv
Nguyen, Huy Tuan; Luu, Vu Cam Hoan Two new regularization methods for solving sideways heat equation. (English) Zbl 1327.35128 J. Inequal. Appl. 2015, Paper No. 65, 17 p. (2015). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 35K05 47A52 PDFBibTeX XMLCite \textit{H. T. Nguyen} and \textit{V. C. H. Luu}, J. Inequal. Appl. 2015, Paper No. 65, 17 p. (2015; Zbl 1327.35128) Full Text: DOI
Quoc Viet Tran; Huy Tuan Nguyen; Van Thinh Nguyen; Duc Trong Dang A general filter regularization method to solve the three dimensional Cauchy problem for inhomogeneous Helmholtz-type equations: theory and numerical simulation. (English) Zbl 1449.65306 Appl. Math. Modelling 38, No. 17-18, 4460-4479 (2014). MSC: 65N20 35J05 35R25 PDFBibTeX XMLCite \textit{Quoc Viet Tran} et al., Appl. Math. Modelling 38, No. 17--18, 4460--4479 (2014; Zbl 1449.65306) Full Text: DOI
Tuan, Nguyen Huy; Binh, Tran Thanh Two regularized solutions of an ill-posed problem for the elliptic equation with inhomogeneous source. (English) Zbl 1474.35352 Filomat 28, No. 10, 2091-2110 (2014). MSC: 35K05 35K99 47J06 47H10 PDFBibTeX XMLCite \textit{N. H. Tuan} and \textit{T. T. Binh}, Filomat 28, No. 10, 2091--2110 (2014; Zbl 1474.35352) Full Text: DOI
Tuan, Nguyen Huy; Tran, Binh Thanh; Long, Le Dinh On a general filter regularization method for the 2D and 3D Poisson equation in physical geodesy. (English) Zbl 1343.86003 Adv. Difference Equ. 2014, Paper No. 258, 21 p. (2014). MSC: 86A30 35K05 35K99 47J06 47H10 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Adv. Difference Equ. 2014, Paper No. 258, 21 p. (2014; Zbl 1343.86003) Full Text: DOI
Nguyen, Tuan H.; Tran, Binh Thanh A regularization method for the elliptic equation with inhomogeneous source. (English) Zbl 1287.35098 ISRN Math. Anal. 2014, Article ID 525636, 8 p. (2014). MSC: 35R25 PDFBibTeX XMLCite \textit{T. H. Nguyen} and \textit{B. T. Tran}, ISRN Math. Anal. 2014, Article ID 525636, 8 p. (2014; Zbl 1287.35098) Full Text: DOI
Nguyen, Huy Tuan; Tran, Quoc Viet; Nguyen, Van Thinh Some remarks on a modified Helmholtz equation with inhomogeneous source. (English) Zbl 1352.65442 Appl. Math. Modelling 37, No. 3, 793-814 (2013). MSC: 65N20 35R25 35J05 PDFBibTeX XMLCite \textit{H. T. Nguyen} et al., Appl. Math. Modelling 37, No. 3, 793--814 (2013; Zbl 1352.65442) Full Text: DOI
Nguyen, T. Huy; Tri, Van Phan; Vu, Ho; Hoa, Ngo Van A new method for solving the modified Helmholtz equation. (English) Zbl 1314.65145 Bull. Math. Anal. Appl. 4, No. 4, 6-17 (2012). MSC: 65N20 35J05 PDFBibTeX XMLCite \textit{T. H. Nguyen} et al., Bull. Math. Anal. Appl. 4, No. 4, 6--17 (2012; Zbl 1314.65145) Full Text: Link
Tuan, Nguyen Huy; Quan, Pham Hoang A Cauchy problem for Helmholtz equation: regularization and error estimates. (English) Zbl 1265.65188 Acta Univ. Apulensis, Math. Inform. 25, 177-188 (2011). MSC: 65M30 35J05 35R25 65M12 65M15 PDFBibTeX XMLCite \textit{N. H. Tuan} and \textit{P. H. Quan}, Acta Univ. Apulensis, Math. Inform. 25, 177--188 (2011; Zbl 1265.65188)
Tuan, Nguyen Huy; Quan, Pham Hoang; Trong, Dang Duc Regularization and new error estimates for a modified Helmholtz equation. (English) Zbl 1224.35164 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 18, No. 2, 267-280 (2010). MSC: 35K05 35K99 47J06 47H10 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 18, No. 2, 267--280 (2010; Zbl 1224.35164) Full Text: EuDML
Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang A note on a Cauchy problem for the Laplace equation: Regularization and error estimates. (English) Zbl 1206.65225 Appl. Math. Comput. 217, No. 7, 2913-2922 (2010). Reviewer: Petr Sváček (Praha) MSC: 65M30 35R25 35J05 65M12 65M15 PDFBibTeX XMLCite \textit{N. H. Tuan} et al., Appl. Math. Comput. 217, No. 7, 2913--2922 (2010; Zbl 1206.65225) Full Text: DOI