Mitchell, S. L.; McInerney, N. P.; O’Brien, S. B. G. Approximate solution techniques for the sorption of a finite amount of swelling solvent in a glassy polymer. (English) Zbl 1481.80015 Appl. Math. Modelling 92, 624-650 (2021). MSC: 80M99 82D60 PDF BibTeX XML Cite \textit{S. L. Mitchell} et al., Appl. Math. Modelling 92, 624--650 (2021; Zbl 1481.80015) Full Text: DOI OpenURL
Kotova, E. V.; Kudinov, V. A.; Stefanyuk, E. V.; Tarabrina, T. B. Method of decreasing the order of a partial differential equation by reducing to two ordinary differential equations. (English. Russian original) Zbl 1402.35016 Russ. Math. 62, No. 8, 27-37 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 8, 33-45 (2018). MSC: 35A24 35A35 PDF BibTeX XML Cite \textit{E. V. Kotova} et al., Russ. Math. 62, No. 8, 27--37 (2018; Zbl 1402.35016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 8, 33--45 (2018) Full Text: DOI OpenURL
Kudinov, V. A.; Klebleev, R. M.; Kuklova, E. A. Obtaining exact analytical solutions for nonstationary heat conduction problems using orthogonal methods. (Russian. English summary) Zbl 1413.35238 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 21, No. 1, 197-206 (2017). MSC: 35K05 80A20 35C10 PDF BibTeX XML Cite \textit{V. A. Kudinov} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 21, No. 1, 197--206 (2017; Zbl 1413.35238) Full Text: DOI MNR OpenURL
Kudinov, Igor’ Vasil’evich; Stefanyuk, Ekaterina Vasil’evna; Skvortsova, Marina Petrovna; Kotova, Evgeniya Valerievna; Sinyaev, Gennadiĭ Mikhaĭlovich On one method for solving transient heat conduction problems with asymmetric boundary conditions. (Russian. English summary) Zbl 1413.80006 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 20, No. 2, 342-353 (2016). MSC: 80A20 PDF BibTeX XML Cite \textit{I. V. Kudinov} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 20, No. 2, 342--353 (2016; Zbl 1413.80006) Full Text: DOI MNR OpenURL
Eremin, Anton Vladimirovich; Kudinov, Igor’ Vasil’evich; Zhukov, Vitaliĭ Vladimirovich A method for solving problems of heat transfer during the flow of fluids in a plane channel. (Russian. English summary) Zbl 1413.35236 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 20, No. 1, 109-120 (2016). MSC: 35K05 80A20 PDF BibTeX XML Cite \textit{A. V. Eremin} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 20, No. 1, 109--120 (2016; Zbl 1413.35236) Full Text: DOI MNR OpenURL
Kudinov, Igor V.; Kudinov, V. A.; Kotova, Evgenya V. Analytic solutions to heat transfer problems on a basis of determination of a front of heat disturbance. (English. Russian original) Zbl 1397.80006 Russ. Math. 60, No. 11, 22-34 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 11, 27-41 (2016). Reviewer: Baasansuren Jadamba (Rochester) MSC: 80A20 PDF BibTeX XML Cite \textit{I. V. Kudinov} et al., Russ. Math. 60, No. 11, 22--34 (2016; Zbl 1397.80006); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 11, 27--41 (2016) Full Text: DOI OpenURL
Kudinov, I. V.; Branfileva, A. N.; Eremin, A. V.; Skvortsova, M. P. Heat transfer simulation in stirring boundary layer using the semiempirical turbulence theory. (Russian. English summary) Zbl 1413.80001 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2014, No. 4(37), 157-169 (2014). MSC: 80A17 76F40 PDF BibTeX XML Cite \textit{I. V. Kudinov} et al., Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2014, No. 4(37), 157--169 (2014; Zbl 1413.80001) Full Text: DOI MNR OpenURL
Mitchell, S. L.; O’Brien, S. B. G. Asymptotic and numerical solutions of a free boundary problem for the sorption of a finite amount of solvent into a glassy polymer. (English) Zbl 1298.35257 SIAM J. Appl. Math. 74, No. 3, 697-723 (2014). MSC: 35R37 35R35 35C20 35B20 35G31 35K05 65N06 74N25 PDF BibTeX XML Cite \textit{S. L. Mitchell} and \textit{S. B. G. O'Brien}, SIAM J. Appl. Math. 74, No. 3, 697--723 (2014; Zbl 1298.35257) Full Text: DOI OpenURL
Mitchell, S. L.; O’Brien, S. B. G. Asymptotic, numerical and approximate techniques for a free boundary problem arising in the diffusion of glassy polymers. (English) Zbl 1294.82043 Appl. Math. Comput. 219, No. 1, 376-388 (2012). MSC: 82D60 65M06 76R50 35R35 80A22 PDF BibTeX XML Cite \textit{S. L. Mitchell} and \textit{S. B. G. O'Brien}, Appl. Math. Comput. 219, No. 1, 376--388 (2012; Zbl 1294.82043) Full Text: DOI OpenURL
Antimonov, M. S.; Kudinov, V. A.; Stefanyuk, E. V. Analytical solutions to the heat conduction problems for a cylinder and a ball based on determining the temperature perturbation front. (Russian, English) Zbl 1164.35377 Zh. Vychisl. Mat. Mat. Fiz. 48, No. 4, 681-692 (2008); translation in Comput. Math. Math. Phys. 48, No. 4, 648-659 (2008). MSC: 35K20 PDF BibTeX XML Cite \textit{M. S. Antimonov} et al., Zh. Vychisl. Mat. Mat. Fiz. 48, No. 4, 681--692 (2008; Zbl 1164.35377); translation in Comput. Math. Math. Phys. 48, No. 4, 648--659 (2008) Full Text: DOI Link OpenURL
Caldwell, J.; Chiu, C. K. Numerical solution of one-phase Stefan problems by the heat balance integral method. II: Special small time starting procedure. (English) Zbl 0964.65110 Commun. Numer. Methods Eng. 16, No. 8, 585-593 (2000). MSC: 65M70 80A22 65M12 35K15 65M06 35R35 PDF BibTeX XML Cite \textit{J. Caldwell} and \textit{C. K. Chiu}, Commun. Numer. Methods Eng. 16, No. 8, 585--593 (2000; Zbl 0964.65110) Full Text: DOI OpenURL
Caldwell, J.; Chiu, C. K. Numerical solution of one-phase Stefan problems by the heat balance integral method. I: Cylindrical and spherical geometries. (English) Zbl 0964.65109 Commun. Numer. Methods Eng. 16, No. 8, 569-583 (2000). MSC: 65M70 80A22 65M06 35K05 65M20 35R35 PDF BibTeX XML Cite \textit{J. Caldwell} and \textit{C. K. Chiu}, Commun. Numer. Methods Eng. 16, No. 8, 569--583 (2000; Zbl 0964.65109) Full Text: DOI OpenURL
Caldwell, James; Chan, Ching-Chuen Spherical solidification by the enthalpy method and the heat balance integral method. (English) Zbl 0944.80001 Appl. Math. Modelling 24, No. 1, 45-53 (2000). MSC: 80A22 80M25 82C80 82C26 PDF BibTeX XML Cite \textit{J. Caldwell} and \textit{C.-C. Chan}, Appl. Math. Modelling 24, No. 1, 45--53 (2000; Zbl 0944.80001) Full Text: DOI OpenURL
Pauk, Volodymyr J.; Woźniak, Małgorzata Spatial perturbations in the solidification process due to mold delaminations. (English) Zbl 0922.73005 Mech. Teor. Stosow. 36, No. 2, 321-330 (1998). MSC: 74A15 80A20 PDF BibTeX XML Cite \textit{V. J. Pauk} and \textit{M. Woźniak}, Mech. Teor. Stosow. 36, No. 2, 321--330 (1998; Zbl 0922.73005) OpenURL
Tarzia, Domingo Alberto Exponential asymptotic behaviour in the porous media equation with absorption. (Spanish. English summary) Zbl 0708.35014 Cuad. Inst. Mat. “Beppo Levi” 17, 73-86 (1989). MSC: 35B40 35K57 76S05 PDF BibTeX XML Cite \textit{D. A. Tarzia}, Cuad. Inst. Mat. ``Beppo Levi'' 17, 73--86 (1989; Zbl 0708.35014) OpenURL
Ko, C. L. Analytical solutions of three-dimensional steady-state conduction in an orthotropic or orthorhombic rectangular block with convective surfaces. (English) Zbl 0675.73080 Ind. Math. 38, No. 2, 137-162 (1988). MSC: 74A15 74S30 PDF BibTeX XML Cite \textit{C. L. Ko}, Ind. Math. 38, No. 2, 137--162 (1988; Zbl 0675.73080) OpenURL
Wood, A. S. An efficient finite-difference scheme for multidimensional Stefan problems. (English) Zbl 0638.65086 Int. J. Numer. Methods Eng. 23, 1757-1771 (1986). Reviewer: K.-H.Hoffmann MSC: 65Z05 65N06 35K05 35R35 80A17 PDF BibTeX XML Cite \textit{A. S. Wood}, Int. J. Numer. Methods Eng. 23, 1757--1771 (1986; Zbl 0638.65086) Full Text: DOI OpenURL
Bert, Charles W. Improved approximate methods for analyzing steady heat conduction. (English) Zbl 0593.65052 Innovative numerical methods in engineering, Proc. 4th Int. Symp., Atlanta/Ga. 1986, 695-700 (1986). MSC: 65L10 65N35 34B05 35K05 PDF BibTeX XML OpenURL
Francis, A.; Craine, R. E. On a model for frictioning stage in friction welding of thin tubes. (English) Zbl 0578.76036 Int. J. Heat Mass Transfer 28, 1747-1755 (1985). MSC: 76D05 80A20 PDF BibTeX XML Cite \textit{A. Francis} and \textit{R. E. Craine}, Int. J. Heat Mass Transfer 28, 1747--1755 (1985; Zbl 0578.76036) Full Text: DOI OpenURL
Bell, Graham E.; Abbas, Suhama K. Convergence properties of the heat balance integral method. (English) Zbl 0568.73119 Numer. Heat Transfer 8, 373-382 (1985). MSC: 74A15 80A20 35K05 49M15 PDF BibTeX XML Cite \textit{G. E. Bell} and \textit{S. K. Abbas}, Numer. Heat Transfer 8, 373--382 (1985; Zbl 0568.73119) Full Text: DOI OpenURL
Gupta, R. S.; Kumar, Dhirendra Variable time step methods for one-dimensional Stefan problem with mixed boundary condition. (English) Zbl 0462.76095 Int. J. Heat Mass Transfer 24, 251-259 (1981). MSC: 76T99 82B26 PDF BibTeX XML Cite \textit{R. S. Gupta} and \textit{D. Kumar}, Int. J. Heat Mass Transfer 24, 251--259 (1981; Zbl 0462.76095) Full Text: DOI OpenURL
Fil’chakov, P. F. (ed.) Mathematical investigation of the processes of filtration and heat and mass transfer. Scientific work collection. (Matematicheskoe issledovanie processov fil’tracii i teplomassoperenosa. Sbornik nauchnyh trudov.). (Russian) Zbl 0419.76075 Akademiya Nauk Ukrajnskoj SSR, Institut Matematiki. Kiev: Izdat. ”Naukova Dumka”. 303 p. R. 1.40 (1978). MSC: 76S05 80A20 30C20 44A20 47A70 76R99 78A99 80A99 PDF BibTeX XML OpenURL