Numerical solution of two-dimensional inverse force function in the wave equation with nonlocal boundary conditions
DOI10.1080/17415977.2017.1289194zbMath1398.65237OpenAlexW2587095095MaRDI QIDQ4638155
Ahmad Jafarabadi, Elyas Shivanian
Publication date: 3 May 2018
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17415977.2017.1289194
wave equationregularizationradial basis functioninverse force problemspectral meshless radial point interpolation (SMRPI) method
Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Related Items (20)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inverse space-dependent force problems for the wave equation
- Recent advances on radial basis function collocation methods
- A comparison study of meshfree techniques for solving the two-dimensional linear hyperbolic telegraph equation
- Determination of forcing functions in the wave equation. I: The space-dependent case
- Determination of forcing functions in the wave equation. II: The time-dependent case
- Numerical simulation of two-dimensional sine-Gordon solitons via a local weak meshless technique based on the radial point interpolation method (RPIM)
- Coupling three-field formulation and meshless mixed Galerkin methods using radial basis functions
- Meshless local Petrov-Galerkin (MLPG) method for the unsteady magnetohydrodynamic (MHD) flow through pipe with arbitrary wall conductivity
- A numerical algorithm for solving inverse problems of two-dimensional wave equations
- Generalizing the finite element method: Diffuse approximation and diffuse elements
- Meshless local Petrov-Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation
- Local integration of 2-D fractional telegraph equation via moving least squares approximation
- More accurate results for nonlinear generalized Benjamin-Bona-Mahony-Burgers (GBBMB) problem through spectral meshless radial point interpolation (SMRPI)
- A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms
- Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics
- Regularization tools version \(4.0\) for matlab \(7.3\)
- Determination of an unknown forcing function in a hyperbolic equation from overspecified data
- Reconstruction of multiplicative space- and time-dependent sources
- A new improved regularization method for dynamic load identification
- On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three-dimensional wave equations
- A local meshless method for Cauchy problem of elliptic PDEs in annulus domains
- A Primer on Radial Basis Functions with Applications to the Geosciences
- A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
- A numerical method for heat transfer problems using collocation and radial basis functions
- Optical tomography in medical imaging
- Uniqueness and stable determination of forcing terms in linear partial differential equations with overspecified boundary data
- Stability, reconstruction formula and regularization for an inverse source hyperbolic problem by a control method
- A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform
- Solving PDEs with radial basis functions
- A meshless method for an inverse two-phase one-dimensional linear Stefan problem
- Scattered Data Approximation
This page was built for publication: Numerical solution of two-dimensional inverse force function in the wave equation with nonlocal boundary conditions