Research Article
Galerkin Method for Numerical Solution of Two Dimensional Hyperbolic Boundary Value Problem with Dirichlet Conditions
Abstract
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.
References
- 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).
Year 2018,
Volume: 4 Issue: 1, 1 - 11, 30.06.2018
Abstract
References
- 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).
There are 9 citations in total.
Details
| Journal Section | Issue |
|---|---|
| Authors | |
| Publication Date | June 30, 2018 |
| Published in Issue | Year 2018 Volume: 4 Issue: 1 |
