Numerical approaches for solution of hyperbolic difference equations on circle. (English) Zbl 07927953
MSC:
35Lxx
Found 104 Documents (Results 1–100)
On well-posedness of the nonlocal boundary value problem with Samarskii-Ionkin conditions for the 2m-th order multidimensional elliptic equations. (English) Zbl 07919583
Ashyralyev, Allaberen (ed.) et al., Analysis and applied mathematics. Extended abstracts of the 2022 joint seminar. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 6, 155-162 (2024).
MSC:
35Jxx
On sixth order of accuracy four-step difference schemes for the fourth-order differential equations. (English) Zbl 07919580
Ashyralyev, Allaberen (ed.) et al., Analysis and applied mathematics. Extended abstracts of the 2022 joint seminar. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 6, 127-138 (2024).
MSC:
65-XX
A note on numerical solution of a parabolic source identification problem with involution and Robin condition. (English) Zbl 07919578
Ashyralyev, Allaberen (ed.) et al., Analysis and applied mathematics. Extended abstracts of the 2022 joint seminar. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 6, 115-123 (2024).
The application of spectral resolution of a self-adjoint operator to approximate elliptic source identification problem with Neumann-type integral condition. (English) Zbl 07919577
Ashyralyev, Allaberen (ed.) et al., Analysis and applied mathematics. Extended abstracts of the 2022 joint seminar. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 6, 101-114 (2024).
The second-order accuracy difference schemes for integral-type time-nonlocal parabolic problems. (English. Russian original) Zbl 07891526
J. Math. Sci., New York 283, No. 2, 195-210 (2024); translation from Sovrem. Mat., Fundam. Napravl. 69, No. 1, 32-49 (2023).
The perturbation algorithm for the realization of a multi-layer semi-discrete solution scheme for an abstract evolutionary problem. (English) Zbl 07867697
On the unique weak solvability of second-order unconditionally stable difference scheme for the system of sine-Gordon equations. (English) Zbl 07843096
Stable difference schemes for hyperbolic-parabolic equations with unknown parameter. (English) Zbl 1534.65121
Well-posedness of SI problem for an elliptic equation in a Banach space with mixed boundary conditions. (English) Zbl 1533.35101
On the stable difference scheme for source identification nonlocal elliptic problem. (English) Zbl 1530.65108
Highly accurate difference schemes for time-nonlocal Schrodinger type problems. (English) Zbl 07777019
Absolute stability of a difference scheme for the multidimensional time-dependently identification telegraph problem. (English) Zbl 07761029
On the stability of hyperbolic difference equations with unbounded delay term. (English) Zbl 1505.65229
On the stability of parabolic differential and difference equations with a time-nonlocal condition. (English. Russian original) Zbl 07557365
Comput. Math. Math. Phys. 62, No. 6, 962-973 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 6, 994-1006 (2022).
A stable difference scheme for a third-order partial differential equation. (English. Russian original) Zbl 07542519
J. Math. Sci., New York 260, No. 4, 399-417 (2022); translation from Sovrem. Mat., Fundam. Napravl. 64, No. 1, 1-19 (2018).
On the second order of accuracy stable difference scheme for integral type non-local elliptic source identification problem. (English) Zbl 1499.65310
Applying the Fourier method to a solution for one class of third order differential equations in Banach spaces. (English) Zbl 1484.34191
On the absolute stable difference scheme for the space-wise dependent source identification problem for elliptic-telegraph equation. (English) Zbl 07775997
Numerical solution of a parabolic source identification problem with involution and Neumann condition. (English) Zbl 1503.65163
Ashyralyev, Allaberen (ed.) et al., Functional analysis in interdisciplinary applications II. Collected papers based on the presentations at the mini-symposium, held as part of the fourth international conference on analysis and applied mathematics, ICAAM, September 6–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 351, 223-233 (2021).
A note on a hyperbolic-parabolic problem with involution. (English) Zbl 1503.65162
Ashyralyev, Allaberen (ed.) et al., Functional analysis in interdisciplinary applications II. Collected papers based on the presentations at the mini-symposium, held as part of the fourth international conference on analysis and applied mathematics, ICAAM, September 6–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 351, 213-221 (2021).
A space-dependent source identification problem for hyperbolic-parabolic equations. (English) Zbl 1479.35938
Ashyralyev, Allaberen (ed.) et al., Functional analysis in interdisciplinary applications II. Collected papers based on the presentations at the mini-symposium, held as part of the fourth international conference on analysis and applied mathematics, ICAAM, September 6–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 351, 183-198 (2021).
A unified numerical method for solving system of nonlinear wave equations. (English) Zbl 1503.65192
Ashyralyev, Allaberen (ed.) et al., Functional analysis in interdisciplinary applications II. Collected papers based on the presentations at the mini-symposium, held as part of the fourth international conference on analysis and applied mathematics, ICAAM, September 6–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 351, 149-159 (2021).
On the stability of Schrödinger type involutory differential equations. (English) Zbl 1490.34084
Ashyralyev, Allaberen (ed.) et al., Functional analysis in interdisciplinary applications II. Collected papers based on the presentations at the mini-symposium, held as part of the fourth international conference on analysis and applied mathematics, ICAAM, September 6–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 351, 127-140 (2021).
Reviewer: Khalil Ezzinbi (Marrakech)
Identification elliptic problem with Dirichlet and integral conditions. (English) Zbl 1480.35275
Ashyralyev, Allaberen (ed.) et al., Functional analysis in interdisciplinary applications II. Collected papers based on the presentations at the mini-symposium, held as part of the fourth international conference on analysis and applied mathematics, ICAAM, September 6–9, 2018. Cham: Springer. Springer Proc. Math. Stat. 351, 63-73 (2021).
On the solvability of one class of third-order differential equations. (English) Zbl 1479.35240
Ukr. Math. J. 73, No. 3, 367-383 (2021) and Ukr. Mat. Zh. 73, No. 3, 314-328 (2021).
Multidimensional problems for nonlinear fractional Schrödinger differential and difference equations. (English) Zbl 1490.65151
Stability of the space identification problem for the elliptic-telegraph differential equation. (English) Zbl 1469.35241
Bounded solutions of second order of accuracy difference schemes for semilinear fractional Schrödinger equations. (English) Zbl 1474.35634
Weak solvability of the unconditionally stable difference scheme for the coupled sine-Gordon system. (English) Zbl 1451.65114
Identification problem for telegraph-parabolic equations. (English. Russian original) Zbl 1450.35287
Comput. Math. Math. Phys. 60, No. 8, 1294-1305 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 8, 1339-1350 (2020).
Stability of Rothe difference scheme for the reverse parabolic problem with integral boundary condition. (English) Zbl 1447.65112
Reviewer: Bülent Karasözen (Ankara)
Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative. (English) Zbl 1448.65088
Well-posedness of a nonlocal boundary value difference elliptic problem. (English) Zbl 1447.65015
Reviewer: Andrey Zahariev (Plovdiv)
Source identification problems for hyperbolic differential and difference equations. (English) Zbl 1429.65117
On coercive solvability of parabolic equations with variable operators. (English. Russian original) Zbl 1490.34066
J. Math. Sci., New York 239, No. 5, 706-724 (2019); translation from Sovrem. Mat., Fundam. Napravl. 61, 164-181 (2016).
Coercive solvability of nonlocal boundary-value problems for parabolic equations. (English. Russian original) Zbl 1426.35132
J. Math. Sci., New York 239, No. 6, 855-866 (2019); translation from Sovrem. Mat., Fundam. Napravl. 62, 140-151 (2016).
The structure of fractional spaces generated by a two-dimensional difference operator in a half plane. (English) Zbl 1426.46016
Ukr. Math. J. 70, No. 8, 1176-1191 (2019); and Ukr. Mat. Zh. 70, No. 8, 1019-1032 (2018).
Finite difference method for Bitsadze-Samarskii type overdetermined elliptic problem with Dirichlet conditions. (English) Zbl 1499.35446
On approximation of coefficient inverse problems for differential equations in functional spaces. (English. Russian original) Zbl 1434.35280
J. Math. Sci., New York 230, No. 6, 823-906 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 133 (2017).
The perturbation algorithm for the realization of a four-layer semi-discrete solution scheme of an abstract evolutionary problem. (English) Zbl 1453.65119
Fractional powers of strongly positive operators and their applications. (English) Zbl 1492.47040
Kal’menov, Tynysbek (ed.) et al., International conference ‘Functional analysis in interdisciplinary applications’, FAIA2017, Astana, Kazakhstan, October 2–5, 2017. Proceedings. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1880, 050001, 6 p. (2017).
Numerical algorithm for the third-order partial differential equation with nonlocal boundary conditions. (English) Zbl 1493.65171
Kal’menov, Tynysbek (ed.) et al., International conference ‘Functional analysis in interdisciplinary applications’, FAIA2017, Astana, Kazakhstan, October 2–5, 2017. Proceedings. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1880, 040012, 7 p. (2017).
Numerical algorithm for the third-order partial differential equation with local boundary conditions. (English) Zbl 1493.65170
Kal’menov, Tynysbek (ed.) et al., International conference ‘Functional analysis in interdisciplinary applications’, FAIA2017, Astana, Kazakhstan, October 2–5, 2017. Proceedings. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1880, 040008, 7 p. (2017).
MSC:
65N06
Source identification problems for hyperbolic differential and difference equations. (English) Zbl 1486.35461
Kal’menov, Tynysbek (ed.) et al., International conference ‘Functional analysis in interdisciplinary applications’, FAIA2017, Astana, Kazakhstan, October 2–5, 2017. Proceedings. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1880, 040001, 8 p. (2017).
A fourth order approximation of the Neumann type overdetermined elliptic problem. (English) Zbl 1488.65581
Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP. (English) Zbl 1379.35200
On the perturbation algorithm for the semidiscrete scheme for the evolution equation and estimation of the approximate solution error using semigroups. (English. Russian original) Zbl 1365.65151
Comput. Math. Math. Phys. 56, No. 7, 1269-1292 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 7, 1299-1322 (2016).
Reviewer: Krzysztof Moszyński (Warszawa)
On source identification problem for telegraph differential equations. (English) Zbl 1353.35311
Pinelas, Sandra (ed.) et al., Differential and difference equations with applications. ICDDEA, Amadora, Portugal, May 18–22, 2015. Selected contributions. Cham: Springer (ISBN 978-3-319-32855-3/hbk; 978-3-319-32857-7/ebook). Springer Proceedings in Mathematics & Statistics 164, 39-50 (2016).
On third order stable difference scheme for hyperbolic multipoint nonlocal boundary value problem. (English) Zbl 1418.65110
Second order equations in functional spaces: qualitative and discrete well-posedness. (English) Zbl 1433.34081
The existence and uniqueness of a new boundary value problem (type of problem “E”) for linear system equations of the mixed hyperbolic-elliptic type in the multivariate dimension with the changing time direction. (English) Zbl 1347.35180
Difference schemes for delay parabolic equations with periodic boundary conditions. (English) Zbl 1359.65145
Dimov, Ivan (ed.) et al., Finite difference methods, theory and applications. 6th international conference, FDM 2014, Lozenetz, Bulgaria, June 18–23, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-20238-9/pbk; 978-3-319-20239-6/ebook). Lecture Notes in Computer Science 9045, 145-152 (2015).
Well-posedness in Hölder spaces of elliptic differential and difference equations. (English) Zbl 1359.65079
Dimov, Ivan (ed.) et al., Finite difference methods, theory and applications. 6th international conference, FDM 2014, Lozenetz, Bulgaria, June 18–23, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-20238-9/pbk; 978-3-319-20239-6/ebook). Lecture Notes in Computer Science 9045, 25-37 (2015).
MSC:
65J08
Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination. (English) Zbl 1411.35280
An operator method for telegraph partial differential and difference equations. (English) Zbl 1312.35135
A note on fractional spaces generated by the positive operator with periodic conditions and applications. (English) Zbl 1334.34135
Finite-difference method for the hyperbolic system of equations with nonlocal boundary conditions. (English) Zbl 1343.35151
Well-posedness of delay parabolic equations with unbounded operators acting on delay terms. (English) Zbl 1304.35380
The structure of fractional spaces generated by a two-dimensional elliptic differential operator and its applications. (English) Zbl 1305.35039
High order of accuracy difference schemes for the inverse elliptic problem with Dirichlet condition. (English) Zbl 1305.65221
On a difference scheme of second order of accuracy for the Bitsadze-Samarskii type nonlocal boundary-value problem. (English) Zbl 1305.65214
On stability of a third order of accuracy difference scheme for hyperbolic nonlocal BVP with self-adjoint operator. (English) Zbl 1470.65147
Existence and uniqueness of solutions for nonlinear impulsive differential equations with two-point and integral boundary conditions. (English) Zbl 1390.34071
Determination of a control parameter for the difference Schrödinger equation. (English) Zbl 1291.65091
Approximate solution of inverse problem for elliptic equation with overdetermination. (English) Zbl 1291.65328
An approximation of stochastic hyperbolic equations: case with Wiener process. (English) Zbl 1281.65006
Reviewer: Grigori N. Milstein (Yekaterinburg)
On a difference scheme of fourth order of accuracy for the Bitsadze-Samarskii type nonlocal boundary value problem. (English) Zbl 1282.65088
Reviewer: M. Plum (Karlsruhe)
A note on the second order of accuracy stable difference schemes for the nonlocal boundary value hyperbolic problem. (English) Zbl 1253.65123
Well-posedness of the first order of accuracy difference scheme for elliptic-parabolic equations in Hölder spaces. (English) Zbl 1253.35083
Generalizations of Wendroff integral inequalities and their discrete analogues. (English) Zbl 1246.26015
The numerical solution of the Bitsadze-Samarskii nonlocal boundary value problems with the Dirichlet-Neumann condition. (English) Zbl 1246.65196
On the second order of accuracy stable implicit difference scheme for elliptic-parabolic equations. (English) Zbl 1246.65195
Asymptotic solutions of singular perturbed problems with an instable spectrum of the limiting operator. (English) Zbl 1250.35023
A new approach for linear eigenvalue problems and nonlinear Euler buckling problem. (English) Zbl 1246.65130
Approximate solutions of delay parabolic equations with the Dirichlet condition. (English) Zbl 1246.65145
A note on the parabolic equation with an arbitrary parameter at the derivative. (English) Zbl 1235.65053
A difference scheme for Cauchy problem for the hyperbolic equation with self-adjoint operator. (English) Zbl 1201.65150
A note on the stability of the integral-differential equation of the hyperbolic type in a Hilbert space. (English) Zbl 1146.45001
On modified Crank-Nicolson difference schemes for stochastic parabolic equation. (English) Zbl 1151.60033
Reviewer: Lluís Quer-Sardanyons (Bellaterra)
On well-posedness of difference schemes for abstract elliptic problems in \(L^{p}([0, T];E)\) spaces. (English) Zbl 1140.65073
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