Araştırma Makalesi

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

Cilt: 4 Sayı: 1 30 Haziran 2018
PDF İndir
TR

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

Öz

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. 

Anahtar Kelimeler

Kaynakça

  1. İsmailov M.I., Tekin İ., Inverse coefficient problems for a first order hyperbolic system, Applied Numerical Mathematics, 106, 98-115, (2016).
  2. 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).
  3. 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.
  4. 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).
  5. Li, Q.H., Wang J., Weak Galerkin Finite Element methods for parabolic equations, Numerical Methods for Partial Differential Equations, 29,2004-2024, (2013).
  6. 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).
  7. 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).
  8. 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).

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2018

Gönderilme Tarihi

15 Kasım 2017

Kabul Tarihi

11 Haziran 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 4 Sayı: 1

Kaynak Göster

APA
İğret Araz, S., & Durur, H. (2018). Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions. Kirklareli University Journal of Engineering and Science, 4(1), 1-11. https://izlik.org/JA36WK53CL
AMA
1.İğret Araz S, Durur H. Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions. KLUJES. 2018;4(1):1-11. https://izlik.org/JA36WK53CL
Chicago
İğret Araz, Seda, ve Hülya Durur. 2018. “Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions”. Kirklareli University Journal of Engineering and Science 4 (1): 1-11. https://izlik.org/JA36WK53CL.
EndNote
İğret Araz S, Durur H (01 Haziran 2018) Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions. Kirklareli University Journal of Engineering and Science 4 1 1–11.
IEEE
[1]S. İğret Araz ve H. Durur, “Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions”, KLUJES, c. 4, sy 1, ss. 1–11, Haz. 2018, [çevrimiçi]. Erişim adresi: https://izlik.org/JA36WK53CL
ISNAD
İğret Araz, Seda - Durur, Hülya. “Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions”. Kirklareli University Journal of Engineering and Science 4/1 (01 Haziran 2018): 1-11. https://izlik.org/JA36WK53CL.
JAMA
1.İğret Araz S, Durur H. Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions. KLUJES. 2018;4:1–11.
MLA
İğret Araz, Seda, ve Hülya Durur. “Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions”. Kirklareli University Journal of Engineering and Science, c. 4, sy 1, Haziran 2018, ss. 1-11, https://izlik.org/JA36WK53CL.
Vancouver
1.Seda İğret Araz, Hülya Durur. Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions. KLUJES [Internet]. 01 Haziran 2018;4(1):1-11. Erişim adresi: https://izlik.org/JA36WK53CL