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Mathematical Modelling and Analysis Volume 12, 2007 - Issue 1
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Original Articles

Alternating direction method for a two‐dimensional parabolic equation with a nonlocal boundary condition

M. Sapagovas Institute of Mathematics and Informatics, Akademijos 4, Vilnius, LT‐03225, Lithuania E-mail: [email protected]
,
G. Kairyte Institute of Mathematics and Informatics, Akademijos 4, Vilnius, LT‐03225, Lithuania
,
O. Štikoniene Institute of Mathematics and Informatics, Akademijos 4, Vilnius, LT‐03225, Lithuania E-mail: [email protected]
&
A. Štikonas Institute of Mathematics and Informatics, Akademijos 4, Vilnius, LT‐03225, Lithuania E-mail: [email protected]
Pages 131-142 | Received 01 Oct 2006, Published online: 14 Oct 2010

Citations (21)

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Read on this site (4)

Kristina Jakubėlienė, Regimantas Čiupaila & Mifodijus Sapagovas. (2017) Semi-Implicit Difference Scheme for a Two-Dimensional Parabolic Equation with an Integral Boundary Condition. Mathematical Modelling and Analysis 22:5, pages 617-633.
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Andris Buikis, Harijs Kalis & Ilmars Kangro. (2016) Special Splines of Exponential Type for the Solutions of Mass Transfer Problems in Multilayer Domains. Mathematical Modelling and Analysis 21:4, pages 450-465.
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Svetlana Roman. (2011) Linear Differential Equation with Additional Conditions and Formulae for Green's Function. Mathematical Modelling and Analysis 16:3, pages 401-417.
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A. Štikonas & O. Štikoniene. (2009) Characteristic functions for sturm—liouville problems with nonlocal boundary conditions. Mathematical Modelling and Analysis 14:2, pages 229-246.
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Articles from other publishers (17)

Mifodijus Sapagovas, Artūras Štikonas & Olga Štikonienė. (2023) ADI Method for Pseudoparabolic Equation with Nonlocal Boundary Conditions. Mathematics 11:6, pages 1303.
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Mifodijus Sapagovas & Jurij Novickij. (2022) Alternating direction method for the wave equation with integral boundary conditions. Applied Numerical Mathematics 182, pages 1-13.
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Mifodijus Sapagovas, Jurij Novickij & Regimantas Ciupaila. (2022) Stability analysis of the Peaceman-Rachford method for parabolic equations with nonlocal conditions. Electronic Journal of Differential Equations 2022:01-87, pages 44.
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Vytenis Šumskas & Raimondas Čiegis. (2022) Finite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped domain. Lithuanian Mathematical Journal 62:2, pages 239-258.
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Ahmed Elsaid, Shaimaa M. Helal & Ahmed M. A. El-Sayed. (2015) THE EIGENVALUE PROBLEM FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATION WITH TWO-POINT NONLOCAL CONDITIONS. Journal of Applied Analysis & Computation 5:1, pages 146-158.
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Kristina Jakubėlienė & Mifodijus Sapagovas. (2013) On the stability of a difference scheme for a two-dimensional parabolic equation with an integral condition*. Lithuanian Mathematical Journal 53:3, pages 311-323.
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Svajūnas Sajavičius. (2012) Stability of the weighted splitting finite-difference scheme for a two-dimensional parabolic equation with two nonlocal integral conditions. Computers & Mathematics with Applications 64:11, pages 3485-3499.
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M. Sapagovas. (2012) On the spectral properties of three-layer difference schemes for parabolic equations with nonlocal conditions. Differential Equations 48:7, pages 1018-1027.
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Artūras Štikonas & Svetlana Roman. (2012) Green’s functions for discrete mTH-order problems*. Lithuanian Mathematical Journal 52:3, pages 334-351.
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M. Sapagovas, T. Meškauskas & F. Ivanauskas. (2012) Numerical spectral analysis of a difference operator with non-local boundary conditions. Applied Mathematics and Computation 218:14, pages 7515-7527.
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Justina Jachimavičienė & Mifodijus Sapagovas. (2012) Locally one-dimensional difference scheme for a pseudoparabolic equation with nonlocal conditions. Lithuanian Mathematical Journal 52:1, pages 53-61.
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M. Sapagovas, A. Štikonas & O. Štikonienė. (2011) Alternating direction method for the Poisson equation with variable weight coefficients in an integral condition. Differential Equations 47:8, pages 1176-1187.
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Svajūnas Sajavičius. 2011. Computational Science and Its Applications - ICCSA 2011. Computational Science and Its Applications - ICCSA 2011 1 10 .
S. Roman & A. Štikonas. (2010) Third-order linear differential equation with three additional conditions and formula for Green’s function. Lithuanian Mathematical Journal 50:4, pages 426-446.
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F. Ivanauskas, T. Meškauskas & M. Sapagovas. (2009) Stability of difference schemes for two-dimensional parabolic equations with non-local boundary conditions. Applied Mathematics and Computation 215:7, pages 2716-2732.
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M. Sapagovas & O. Štikonienė. (2009) A fourth-order alternating-direction method for difference schemes with nonlocal condition*. Lithuanian Mathematical Journal 49:3, pages 309-317.
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A. Štikonas. (2007) The Sturm-Liouville problem with a nonlocal boundary condition. Lithuanian Mathematical Journal 47:3, pages 336-351.
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