A generalization of the method of lines for the numerical solution of coupled, forced vibration of beams
DOI10.1016/j.matcom.2019.10.011OpenAlexW2981418789WikidataQ126979835 ScholiaQ126979835MaRDI QIDQ1997918
Pratik Sarker, Uttam K. Chakravarty
Publication date: 6 March 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2019.10.011
finite difference methodmethod of linesnumerical solutionnonlinear vibrationmoving boundary conditionsforced beam vibration
Thin bodies, structures (74Kxx) Numerical and other methods in solid mechanics (74Sxx) Dynamical problems in solid mechanics (74Hxx)
Uses Software
Cites Work
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- Existence of solution for the Ginzburg-Landau system, a related optimal control problem and its computation by the generalized method of lines
- On the numerical solution of nonlinear Burgers'-type equations using meshless method of lines
- Runge-Kutta type methods with special properties for the numerical integration of ordinary differential equations
- Modelling variable density flow problems in heterogeneous porous media using the method of lines and advanced spatial discretization methods
- Meshless method of lines for the numerical solution of generalized Kuramoto-Sivashinsky equation
- The method of lines applied to nonlinear nonlocal functional differential equations
- Highly stable implicit-explicit Runge-Kutta methods
- The method of lines for the numerical solution of a mathematical model for capillary formation: The role of endothelial cells in the capillary
- The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic factor in the extra-cellular matrix
- Method of lines for stochastic boundary-value problems with additive noise
- A dynamic analysis of a coupled beam/slider system
- Partitioned Krylov subspace iteration in implicit Runge-Kutta methods
- Adapted numerical methods for advection-reaction-diffusion problems generating periodic wavefronts
- A WENO-based method of lines transpose approach for Vlasov simulations
- Refined shear deformation theories for laminated composite arches and beams with variable thickness: natural frequency analysis
- The solution of the Boussinesq equation using the method of lines
- The direct method of lines for the problem of infinite elastic foundation
- The direct method of lines for the numerical solutions of interface problem
- The numerical solution of Richards' equation by means of method of lines and ensemble Kalman filter
- The solution of the two-dimensional sine-Gordon equation using the method of lines
- The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition
- A sixth-order compact finite difference method for non-classical vibration analysis of nanobeams including surface stress effects
- A good spatial discretisation in the method of lines
- Method of Lines PDE Analysis in Biomedical Science and Engineering
- On the solution of an initial-boundary value problem that combines Neumann and integral condition for the wave equation
- A Compendium of Partial Differential Equation Models
- A Fast Block Krylov Implicit Runge–Kutta Method for Solving Large-Scale Ordinary Differential Equations
- Combined finite difference and spectral methods for the numerical solution of hyperbolic equation with an integral condition
- Numerical simulations of fracture problems by coupling the FEM and the direct method of lines
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