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

Yıl 2018, Cilt: 4 Sayı: 1, 1 - 11, 30.06.2018

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, n
umerical results are obtained and are compared with analytical
solutions. 

Kaynakça

  • 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).
Yıl 2018, Cilt: 4 Sayı: 1, 1 - 11, 30.06.2018

Öz

Kaynakça

  • 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).
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Bölüm Sayı
Yazarlar

Seda İğret Araz

Hülya Durur

Yayımlanma Tarihi 30 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. Kırklareli Üniversitesi Mühendislik Ve Fen Bilimleri Dergisi, 4(1), 1-11.