Jangveladze, Temur; Kiguradze, Zurab; Kratsashvili, Maia; Neta, Beny Numerical solution for a nonlinear diffusion model with source terms. (English) Zbl 1526.65038 Georgian Math. J. 30, No. 4, 539-554 (2023). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M06 65N06 35K55 35R09 45K05 78A25 78M20 35Q60 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Georgian Math. J. 30, No. 4, 539--554 (2023; Zbl 1526.65038) Full Text: DOI
Jangveladze, Temur Investigation and approximate solution of nonlinear integro-differential equation of diffusion type. (English) Zbl 1513.45032 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 34, 38-41 (2020). MSC: 45K05 45M05 35Q61 45L05 65R20 PDFBibTeX XMLCite \textit{T. Jangveladze}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 34, 38--41 (2020; Zbl 1513.45032) Full Text: Link
Jangveladze, Temur; Kiguradze, Zurab Unique solvability and decomposition method for one nonlinear multi-dimensional integro-differential parabolic equation. (English) Zbl 1484.45009 Int. J. Numer. Anal. Model. 17, No. 6, 806-819 (2020). MSC: 45K05 65R20 35Q61 65M06 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Int. J. Numer. Anal. Model. 17, No. 6, 806--819 (2020; Zbl 1484.45009) Full Text: Link
Jangveladze, Temur; Kiguradze, Zurab Averaged semi-discrete scheme of sum-approximation for one nonlinear multi-dimensional integro-differential parabolic equation. (English) Zbl 1488.65746 Georgian Math. J. 27, No. 3, 367-373 (2020). MSC: 65R20 45K05 65M06 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Georgian Math. J. 27, No. 3, 367--373 (2020; Zbl 1488.65746) Full Text: DOI
Jangveladze, Temur Investigation and numerical solution of nonlinear partial differential and integro-differential models based on system of Maxwell equations. (English) Zbl 1441.45011 Mem. Differ. Equ. Math. Phys. 76, 1-118 (2019). MSC: 45K05 35R09 65M06 65M12 65R20 35K55 35Q61 35B32 35B35 35B40 35B44 65Y05 45-02 PDFBibTeX XMLCite \textit{T. Jangveladze}, Mem. Differ. Equ. Math. Phys. 76, 1--118 (2019; Zbl 1441.45011) Full Text: Link
Hecht, Frederic; Jangveladze, Temur; Kiguradze, Zurab; Pironneau, Olivier Finite difference scheme for one system of nonlinear partial integro-differential equations. (English) Zbl 1427.65164 Appl. Math. Comput. 328, 287-300 (2018). MSC: 65M06 65R20 35B40 35Q60 35R09 45K05 PDFBibTeX XMLCite \textit{F. Hecht} et al., Appl. Math. Comput. 328, 287--300 (2018; Zbl 1427.65164) Full Text: DOI
Jangveladze, T.; Kiguradze, Z.; Kratsashvili, M. Uniqueness of solution and fully discrete scheme to nonlinear integro-differential averaged model with source terms. (English) Zbl 1424.65131 Miskolc Math. Notes 19, No. 2, 907-921 (2018). MSC: 65M06 45K05 35K55 35Q61 65M12 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Miskolc Math. Notes 19, No. 2, 907--921 (2018; Zbl 1424.65131) Full Text: DOI
Jangveladze, Temur Well-posedness and approximate solution of the initial-boundary value problem for nonlinear integro-differential equation obtained by the reduction of Maxwell system. (English) Zbl 1513.45031 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 31, 59-62 (2017). MSC: 45K05 65R20 35Q61 PDFBibTeX XMLCite \textit{T. Jangveladze}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 31, 59--62 (2017; Zbl 1513.45031) Full Text: Link
Jangveladze, T.; Kiguradze, Z. Difference scheme for one system of nonlinear parabolic integro-differential equations. (English) Zbl 1401.45009 Appl. Math. Inform. Mech. 21, No. 1, 104-120 (2016). MSC: 45K05 65M06 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Appl. Math. Inform. Mech. 21, No. 1, 104--120 (2016; Zbl 1401.45009)
Jangveladze, Temur; Kiguradze, Zurab Finite difference scheme for one nonlinear parabolic integro-differential equation. (English) Zbl 1349.65560 Trans. A. Razmadze Math. Inst. 170, No. 3, 395-401 (2016). MSC: 65N06 45K05 35K55 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Trans. A. Razmadze Math. Inst. 170, No. 3, 395--401 (2016; Zbl 1349.65560) Full Text: DOI
Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny Numerical solutions of three classes of nonlinear parabolic integro-differential equations. (English) Zbl 1339.35002 Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-804628-9/hbk; 978-0-12-804669-2/ebook). viii, 243 p. (2015). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35-02 35R09 45K05 35A35 65M06 65M60 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Numerical solutions of three classes of nonlinear parabolic integro-differential equations. Amsterdam: Elsevier/Academic Press (2015; Zbl 1339.35002) Full Text: Link
Jangveladze, T.; Kiguradze, Z.; Gagoshide, M. Large time behavior of solution and semi-discrete scheme for one nonlinear integro-differential equation with source term. (English) Zbl 1334.45017 Appl. Math. Inform. Mech. 19, No. 2, 10-17 (2014). MSC: 45K05 45G10 65R20 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Appl. Math. Inform. Mech. 19, No. 2, 10--17 (2014; Zbl 1334.45017)
Jangveladze, T.; Kiguradze, Z.; Kratsashvili, A. Asymptotic behavior of the solution and semi-discrete finite difference scheme for one nonlinear integro-differential model with source terms. (English) Zbl 1311.45017 Appl. Math. Inform. Mech. 18, No. 2, 19-30 (2013). MSC: 45K05 45G15 65R20 78A25 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Appl. Math. Inform. Mech. 18, No. 2, 19--30 (2013; Zbl 1311.45017) Full Text: Link
Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny; Reich, Simeon Finite element approximations of a nonlinear diffusion model with memory. (English) Zbl 1276.65094 Numer. Algorithms 64, No. 1, 127-155 (2013). MSC: 65R20 45G15 45K05 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Numer. Algorithms 64, No. 1, 127--155 (2013; Zbl 1276.65094) Full Text: DOI
Jangveladze, T.; Kiguradze, Z.; Neta, B. Finite element method for a system of nonlinear integro-differential equations with mixed boundary conditions. (English) Zbl 1286.65124 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 26, 23-28 (2012). MSC: 65M60 45K05 35K51 35K59 35R09 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 26, 23--28 (2012; Zbl 1286.65124)
Aptsiauri, M. M.; Jangveladze, T. A.; Kiguradze, Z. V. Asymptotic behavior of the solution of a system of nonlinear integro-differential equations. (English. Russian original) Zbl 1243.45012 Differ. Equ. 48, No. 1, 72-80 (2012); translation from Differ. Uravn. 48, No. 1, 70-78 (2012). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 45J05 45M05 45G15 45M10 78A25 PDFBibTeX XMLCite \textit{M. M. Aptsiauri} et al., Differ. Equ. 48, No. 1, 72--80 (2012; Zbl 1243.45012); translation from Differ. Uravn. 48, No. 1, 70--78 (2012) Full Text: DOI
Jangveladze, Temur; Kiguradze, Zurab Large time behavior of the solution to an initial-boundary value problem with mixed boundary conditions for a nonlinear integro-differential equation. (English) Zbl 1233.35124 Cent. Eur. J. Math. 9, No. 4, 866-873 (2011). MSC: 35K59 45K05 74H40 35B40 35R09 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Cent. Eur. J. Math. 9, No. 4, 866--873 (2011; Zbl 1233.35124) Full Text: DOI
Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny Galerkin finite element method for one nonlinear integro-differential model. (English) Zbl 1216.65183 Appl. Math. Comput. 217, No. 16, 6883-6892 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45K05 45G10 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Appl. Math. Comput. 217, No. 16, 6883--6892 (2011; Zbl 1216.65183) Full Text: DOI
Jangveladze, Temur A.; Kiguradze, Zurab V. Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance. (English) Zbl 1224.35189 Appl. Math., Praha 55, No. 6, 471-493 (2010). MSC: 35K55 45K05 74H40 78A30 PDFBibTeX XMLCite \textit{T. A. Jangveladze} and \textit{Z. V. Kiguradze}, Appl. Math., Praha 55, No. 6, 471--493 (2010; Zbl 1224.35189) Full Text: DOI EuDML Link
Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny Large time asymptotic and numerical solution of a nonlinear diffusion model with memory. (English) Zbl 1189.65195 Comput. Math. Appl. 59, No. 1, 254-273 (2010). MSC: 65M06 45K05 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Comput. Math. Appl. 59, No. 1, 254--273 (2010; Zbl 1189.65195) Full Text: DOI
Aptsiauri, M. M.; Jangveladze, Temur A.; Kiguradze, Z. V. On asymptotic behavior of solution of one nonlinear one-dimensional integro-differential analogue of Maxwell’s system. (English) Zbl 1278.35238 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 23, 5-10 (2009). MSC: 35Q60 35B40 35K55 35R09 45K05 PDFBibTeX XMLCite \textit{M. M. Aptsiauri} et al., Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 23, 5--10 (2009; Zbl 1278.35238)
Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny Large time behavior of solutions and finite difference scheme to a nonlinear integro-differential equation. (English) Zbl 1186.45013 Comput. Math. Appl. 57, No. 5, 799-811 (2009). MSC: 45K05 65M06 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Comput. Math. Appl. 57, No. 5, 799--811 (2009; Zbl 1186.45013) Full Text: DOI
Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny Finite difference approximation of a nonlinear integro-differential system. (English) Zbl 1179.65162 Appl. Math. Comput. 215, No. 2, 615-628 (2009). Reviewer: Peter Zabreiko (Minsk) MSC: 65R20 45K05 45G15 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., Appl. Math. Comput. 215, No. 2, 615--628 (2009; Zbl 1179.65162) Full Text: DOI
Jangveladze, Temur; Kiguradze, Zurab; Neta, Beny Large time behavior of solutions to a nonlinear integro-differential system. (English) Zbl 1172.35330 J. Math. Anal. Appl. 351, No. 1, 382-391 (2009). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 35B40 45K05 45M10 PDFBibTeX XMLCite \textit{T. Jangveladze} et al., J. Math. Anal. Appl. 351, No. 1, 382--391 (2009; Zbl 1172.35330) Full Text: DOI
Aptsiauri, M.; Jangveladze, T.; Kiguradze, Z. Large time behavior of solutions and numerical approximation of nonlinear integro-differential equation associated with the penetration of a magnetic field into a substance. (English) Zbl 1200.65105 Appl. Math. Inform. Mech. 13, No. 2, 3-17 (2008). MSC: 65R20 45G10 45K05 78A25 PDFBibTeX XMLCite \textit{M. Aptsiauri} et al., Appl. Math. Inform. Mech. 13, No. 2, 3--17 (2008; Zbl 1200.65105)
Jangveladze, T.; Kiguradze, Z. Large time behavior of solutions and difference schemes to nonlinear integro-differential system associated with the penetration of a magnetic field into a substance. (English) Zbl 1200.78002 Appl. Math. Inform. Mech. 13, No. 1, 40-54 (2008). MSC: 78A30 45K05 65N06 35K55 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Appl. Math. Inform. Mech. 13, No. 1, 40--54 (2008; Zbl 1200.78002)
Aptsiauri, M.; Jangveladze, T.; Kiguradze, Z. On the stabilization of solution as \(t\to\infty\) and convergence of the corresponding finite difference scheme for one nonlinear integro-differential equation. (English) Zbl 1179.45014 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 22, 15-19 (2008). MSC: 45K05 65M06 35K55 PDFBibTeX XMLCite \textit{M. Aptsiauri} et al., Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 22, 15--19 (2008; Zbl 1179.45014)
Dzhangveladze, T. A.; Kiguradze, Z. V. Asymptotic behavior of the solution of a nonlinear integro-differential diffusion equation. (English) Zbl 1172.35500 Differ. Equ. 44, No. 4, 538-550 (2008); translation from Differ. Uravn. 44, No. 4, 517-539 (2008). MSC: 35Q60 35B40 45J05 PDFBibTeX XMLCite \textit{T. A. Dzhangveladze} and \textit{Z. V. Kiguradze}, Differ. Equ. 44, No. 4, 538--550 (2008; Zbl 1172.35500); translation from Differ. Uravn. 44, No. 4, 517--539 (2008) Full Text: DOI
Jangveladze, Temur; Kiguradze, Zurab Large time behavior of solutions to one nonlinear integro-differential equation. (English) Zbl 1157.35316 Georgian Math. J. 15, No. 3, 531-539 (2008). MSC: 35B40 35K55 45K05 74H40 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Georgian Math. J. 15, No. 3, 531--539 (2008; Zbl 1157.35316)
Jangveladze, T.; Kiguradze, Z. On nonlinear integro-differential equations based on Maxwell’s system. (English) Zbl 1222.78051 Proc. I. Vekua Inst. Appl. Math. 56-57(2006-2007), 55-65, 80 (2007). MSC: 78M20 65N06 45K05 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Proc. I. Vekua Inst. Appl. Math. 56--57, 55--65, 80 (2007; Zbl 1222.78051)
Jangveladze, Temur; Kiguradze, Zurab Large time asymptotics of solutions to a nonlinear integro-differential equation. (English) Zbl 1165.35326 Mem. Differ. Equ. Math. Phys. 42, 35-48 (2007). MSC: 35B40 35K55 45K05 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Mem. Differ. Equ. Math. Phys. 42, 35--48 (2007; Zbl 1165.35326)
Dzhangveladze, T. A.; Kiguradze, Z. V. On the stabilization of solutions of an initial-boundary value problem for a nonlinear integro-differential equation. (English. Russian original) Zbl 1136.78018 Differ. Equ. 43, No. 6, 854-861 (2007); translation from Differ. Uravn. 43, No. 6, 833-840 (2007). MSC: 78M35 45M05 78A25 PDFBibTeX XMLCite \textit{T. A. Dzhangveladze} and \textit{Z. V. Kiguradze}, Differ. Equ. 43, No. 6, 854--861 (2007; Zbl 1136.78018); translation from Differ. Uravn. 43, No. 6, 833--840 (2007) Full Text: DOI
Jangveladze, T. A.; Kiguradze, Z. V. Asymptotics of a solution of a nonlinear system of diffusion of a magnetic field into a substance. (Russian, English) Zbl 1150.45316 Sib. Mat. Zh. 47, No. 5, 1058-1070 (2006); translation in Sib. Math. J. 47, No. 5, 867-878 (2006). MSC: 45K05 78A25 45G15 PDFBibTeX XMLCite \textit{T. A. Jangveladze} and \textit{Z. V. Kiguradze}, Sib. Mat. Zh. 47, No. 5, 1058--1070 (2006; Zbl 1150.45316); translation in Sib. Math. J. 47, No. 5, 867--878 (2006) Full Text: EuDML EMIS
Jangveladze, T.; Kiguradze, Z. Long time behavior of solutions to nonlinear integro-differential equation. (English) Zbl 1196.35220 Proc. I. Vekua Inst. Appl. Math. 54-55(2004-2005), 65-73 (2005). MSC: 35R09 45K05 35B40 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Proc. I. Vekua Inst. Appl. Math. 54--55, 65--73 (2005; Zbl 1196.35220)
Jangveladze, T.; Kiguradze, Z. Estimates of a stabilization rate as \(t \to \infty\) of solutions of a system of nonlinear integro-differential equations. (English) Zbl 1207.45011 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 18, No. 1, 16-18 (2003). MSC: 45K05 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 18, No. 1, 16--18 (2003; Zbl 1207.45011)
Jangveladze, T.; Kiguradze, Z. Estimates of the stabilization rate as \(t\to\infty\) of solutions of the nonlinear integro-differential diffusion system. (English) Zbl 1070.45009 Appl. Math. Inform. Mech. 8, No. 2, 1-19 (2003). Reviewer: V. Lakshmikantham (Melbourne/Florida) MSC: 45K05 45M10 78A25 45M05 45G15 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Appl. Math. Inform. Mech. 8, No. 2, 1--19 (2003; Zbl 1070.45009)
Jangveladze, T.; Kiguradze, Z. Estimates of a stabilization rate as \(t\to\infty\) of solutions of a nonlinear integro-differential equation. (English) Zbl 1043.35074 Georgian Math. J. 9, No. 1, 57-70 (2002). MSC: 35K55 45K05 35K50 35B40 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Georgian Math. J. 9, No. 1, 57--70 (2002; Zbl 1043.35074) Full Text: EuDML
Jangveladze, T.; Kiguradze, Z. On the asymptotic behavior of solution for a system of nonlinear integro-differential equations. (On the asymptotic behavior of solution for one system of nonlinear integro-differential equations.) (English) Zbl 1229.45014 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 14, No. 1, 35-38 (1999). MSC: 45K05 35F30 35B40 35R10 PDFBibTeX XMLCite \textit{T. Jangveladze} and \textit{Z. Kiguradze}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 14, No. 1, 35--38 (1999; Zbl 1229.45014)
Jangveladze, T. Convergence of a difference scheme for a nonlinear integro-differential equation. (English) Zbl 1020.65103 Proc. I. Vekua Inst. Appl. Math. 48, 38-43 (1998). MSC: 65R20 45K05 45G10 PDFBibTeX XMLCite \textit{T. Jangveladze}, Proc. I. Vekua Inst. Appl. Math. 48, 38--43 (1998; Zbl 1020.65103)
Dzhangveladze, T. A. Nonlinear parabolic integrodifferential equations. (English) Zbl 0595.45022 Differ. Equations 21, 32-36 (1985). MSC: 45K05 45L05 PDFBibTeX XMLCite \textit{T. A. Dzhangveladze}, Differ. Equations 21, 32--36 (1985; Zbl 0595.45022)
Dzhangveladze, T. A. On a nonlinear integro-differential equation of parabolic type. (Russian) Zbl 0575.45012 Differ. Uravn. 21, No. 1, 41-46 (1985). Reviewer: S.Aizicovici MSC: 45K05 45L05 PDFBibTeX XMLCite \textit{T. A. Dzhangveladze}, Differ. Uravn. 21, No. 1, 41--46 (1985; Zbl 0575.45012)
Dzhangveladze, T. A. On the solvability of the first boundary value problem for a nonlinear integro-differential equation of parabolic type. (Russian. English summary) Zbl 0555.45003 Soobshch. Akad. Nauk Gruz. SSR 114, 261-264 (1984). MSC: 45K05 45L05 PDFBibTeX XMLCite \textit{T. A. Dzhangveladze}, Soobshch. Akad. Nauk Gruz. SSR 114, 261--264 (1984; Zbl 0555.45003)