The Galerkin-collocation method for hyperbolic initial boundary value problems

Journal Article · Wed Jun 01 04:00:00 EDT 1994 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1994.1093· OSTI ID:7163969

Dutt, P; Singh, A K ^[1]

---

1. Indian Institute of Technology, Kanpur (India)

In this paper we implement a spectral method for solving initial boundary value problems which is in between the Galerkin and collocation methods. In this method the partial differential equation and initial and boundary conditions are collocated at an overdetermined set of points and the approximate solution is chosen at an overdetermined set of points and the approximates solution is chosen to be the least-squares solution to this system of equation. Numerical results for linear and nonlinear hyperbolic problems are provided.

• OSTI ID: 7163969
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 112:2; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
BOUNDARY-VALUE PROBLEMS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
GALERKIN-PETROV METHOD
ITERATIVE METHODS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS