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## Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions

#### Seda İĞRET ARAZ [1] , Hülya DURUR [2]

In this paper, our aim has been to deal with numerical solution of two dimensional hyperbolic boundary value problem. By applying Galerkin method with basis functions to this problem, numerical results are obtained and are compared with analytical solutions.

Hyperbolic Boundary Value Problem, Numerical Approximation, Galerkin Method
• İsmailov M.I., Tekin İ., Inverse coefficient problems for a first order hyperbolic system, Applied Numerical Mathematics, 106, 98-115, (2016).
• Zadvan H., Rashidinia J., Non-polynomial spline method for the solution of two-dimensional linear wave equations with a nonlinear source term, Numerical Algorithms, 1-18, (2016).
• Merad A., Vaquero, J.M., A Galerkin method for two dimensional hyperbolic integro-differential equation with purely integral conditions, Applied Mathematics and Computation, 291, (2016), 386-394.
• Şener S.Ş., Saraç Y., Subaşı M., Weak solutions to hyperbolic problems with inhomogeneous Dirichlet and Neumann boundary conditions, Applied Mathematical Modelling, 37, 2623-2629, (2013).
• Li, Q.H., Wang J., Weak Galerkin Finite Element methods for parabolic equations, Numerical Methods for Partial Differential Equations, 29,2004-2024, (2013).
• Dedner, A., Madhavan P., Stinner B., Analysis of the discontinuous Galerkin method for elliptic problems on surfaces, IMA Journal of Numerical Analysis, 33, 952-973, (2013).
• Subaşı M., Şener S.Ş., Saraç Y., A procedure for the Galerkin method for a vibrating system, Computers and Mathematics with Applications, 61, 2854-2862, (2011).
• Hasanov A., Simultaneous determination of the source terms in a linear hyperbolic problem from the final over determination: weak solution approach, IMA Journal of Applied Mathematics, 74, 1-19, (2008).
• Ladyzhenskaya O.A., Boundary Value Problems in Mathematical Physics, Springer-Verlag, (1985).
Journal Section Issue Author: Seda İĞRET ARAZ Country: Turkey Author: Hülya DURUR Publication Date : June 30, 2018
 Bibtex @research article { klujes353584, journal = {Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi}, issn = {2458-7494}, eissn = {2458-7613}, address = {}, publisher = {Kirklareli University}, year = {2018}, volume = {4}, pages = {1 - 11}, doi = {}, title = {Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions}, key = {cite}, author = {İğret Araz, Seda and Durur, Hülya} } APA İğret Araz, S , Durur, H . (2018). Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions. Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi , 4 (1) , 1-11 . Retrieved from https://dergipark.org.tr/en/pub/klujes/issue/37436/353584 MLA İğret Araz, S , Durur, H . "Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions". Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi 4 (2018 ): 1-11 Chicago İğret Araz, S , Durur, H . "Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions". Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi 4 (2018 ): 1-11 RIS TY - JOUR T1 - Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions AU - Seda İğret Araz , Hülya Durur Y1 - 2018 PY - 2018 N1 - DO - T2 - Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 1 EP - 11 VL - 4 IS - 1 SN - 2458-7494-2458-7613 M3 - UR - Y2 - 2018 ER - EndNote %0 Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions %A Seda İğret Araz , Hülya Durur %T Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions %D 2018 %J Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi %P 2458-7494-2458-7613 %V 4 %N 1 %R %U ISNAD İğret Araz, Seda , Durur, Hülya . "Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions". Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi 4 / 1 (June 2018): 1-11 . AMA İğret Araz S , Durur H . Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions. Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi. 2018; 4(1): 1-11. Vancouver İğret Araz S , Durur H . Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions. Kırklareli Üniversitesi Mühendislik ve Fen Bilimleri Dergisi. 2018; 4(1): 11-1.

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