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Showing 1 to 7 of 7 for “"Hyperbolic Equation"”.
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An approximation to the solution of hyperbolic equation by homotopy analysis method
… used to obtained the approximation solution of hyperbolic equation. Hyperbolic equation is a one of the class of Partial Differential Equation (PDE). PDE is one of the basic areas of applied analysis, and it is difficult to imagine any area of applications where its impact is not felt. In recent …
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Optimal design and analysis for polymer extrusion and molding
… iteration is used to solve the nonlinear equations for the pressure field which are formed via the Hele-Shaw flow analysis and Galerkin finite element method. The pressure induced velocity field is then used to derive a hyperbolic differential equation which evaluates the material …
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Seismic reflection moveout for azimuthally anisotropic media
… is generally treated by an azimuthally-isotropic hyperbolic equation. Recently, special treatment for the reflection moveout in azimuthally anisotropic media has been introduced due to the fact that the moveout in such cases is azimuthally dependent. Here, the normal moveout (NMO) equation …
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Reduction of water and bed levels in the lower Waikato River
… the water and bedload movement system produces a hyperbolic equation or even a parabolic equation (uniform flow). The parabolic equation is a good approximation of the hyperbolic equation under the condition of large values of time or a large distance from the original disturbance. Variations …
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DGM-FD: A Finite Difference Scheme Based on the Discontinuous Galerkin Method
… Galerkin Method (DGM) applied to the hyperbolic equation. Finite difference type schemes applicable to non-uniform grids are proposed. The schemes will be referred to as DGM-FD schemes. These schemes inherit, naturally, some features of the DGM, such as high-order approximations, …
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A Dynamical Study of the Evolution of Pressure Waves Propagating through a Semi-Infinite Region of Homogeneous Gas Combustion Subject to a Time-Harmonic Signal at the Boundary
… studied. The problem is modeled by a nonlinear, hyperbolic partial differential equation. Steady-state behavior is investigated using the perturbation method to ensure that enough time has passed for any transient effects to have dissipated. The zeroth, first and second-order perturbation …
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Computational modeling and simulation of nonlinear electromagnetic and multiphysics problems
… A second-order nonlinear partial differential equation (PDE) that governs the nonlinear magnetic problem is constructed through the magnetic vector potential in the time domain, which is solved by applying the Newton-Raphson method. To solve the ordinary differential equation (ODE) representing …