Finite Element Model for Linear Second Order One Dimensional Inhomogeneous Wave Equation
2016
In physics, propagation of sound, light and water waves is modeled by hyperbolic partial differential equations. Linear second order hyperbolic partial differential equations describe various phenomena in acoustics, electromagnetic and fluid dynamics. In this paper, a Galerkin based Finite Element Model has been developed to solve linear second order one dimensional Inhomogeneous wave equation numerically. Accuracy of the developed scheme has been analyzed by comparing the numerical solution with exact solution.
Keywords:
- Mathematical analysis
- Elliptic partial differential equation
- Differential equation
- FTCS scheme
- Hyperbolic partial differential equation
- Discontinuous Galerkin method
- Wave equation
- Partial differential equation
- Inhomogeneous electromagnetic wave equation
- Physics
- Method of characteristics
- First-order partial differential equation
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