Reconstruction of a time‐dependent coefficient in nonlinear Klein–Gordon equation using Bernstein spectral method
From MaRDI portal
Publication:6182171
DOI10.1002/mma.8607OpenAlexW4289704834MaRDI QIDQ6182171
Publication date: 21 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8607
spectral methodoperational matricessatisfier functionmollification techniqueinverse Klein-Gordon equation
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) Second-order nonlinear hyperbolic equations (35L70) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations
- A new approach to numerical solution of nonlinear Klein-Gordon equation
- The operational matrices of Bernstein polynomials for solving the parabolic equation subject to specification of the mass
- The couple of Hermite-based approach and Crank-Nicolson scheme to approximate the solution of two dimensional stochastic diffusion-wave equation of fractional order
- Analysis of four numerical schemes for a nonlinear Klein-Gordon equation
- Split local absorbing conditions for one-dimensional nonlinear Klein-Gordon equation on unbounded domain
- Exact solutions for the generalized Klein-Gordon equation via a transformation and exp-function method and comparison with Adomian's method
- Fourth-order compact solution of the nonlinear Klein-Gordon equation
- On the history of multivariate polynomial interpolation
- An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations
- The numerical solution of the two-dimensional sinh-Gordon equation via three meshless methods
- An approximate solution based on Jacobi polynomials for time-fractional convection-diffusion equation
- Application Jacobi spectral method for solving the time-fractional differential equation
- Numerical solution of damped nonlinear Klein--Gordon equations using variational method and finite element approach
- Boundary determination of the inverse heat conduction problem in one and two dimensions via the collocation method based on the satisfier functions
- Large amplitude instability in finite difference approximations to the Klein-Gordon equation
- A Legendre spectral method for solving the nonlinear Klein-Gordon equation
- Application of hat basis functions for solving two-dimensional stochastic fractional integral equations
- Numerical-solution-for-nonlinear-Klein-Gordon equation via operational-matrix by clique polynomial of complete graphs
- Application of combination schemes based on radial basis functions and finite difference to solve stochastic coupled nonlinear time fractional sine-Gordon equations
- Hybrid Taylor and block-pulse functions operational matrix algorithm and its application to obtain the approximate solution of stochastic evolution equation driven by fractional Brownian motion
- Spectral Galerkin schemes for a class of multi-order fractional pantograph equations
- Solutions of differential equations in a Bernstein polynomial basis
- Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions
- Fast and precise spectral method for solving pantograph type Volterra integro-differential equations
- Auxiliary equation method and new solutions of Klein-Gordon equations
- Numerical methods for solving inverse problems of mathematical physics.
- Application of the Ritz-Galerkin method for recovering the spacewise-coefficients in the wave equation
- Numerical solution of the nonlinear Klein-Gordon equation
- Numerical solution of two-dimensional stochastic time-fractional Sine-Gordon equation on non-rectangular domains using finite difference and meshfree methods
- Past and future of inverse problems
- Determination of space–time-dependent heat source in a parabolic inverse problem via the Ritz–Galerkin technique
- A computational method to estimate the unknown coefficient in a wave equation using boundary measurements
- Determination of a control function in three-dimensional parabolic equations by Legendre pseudospectral method
- Finding a control parameter in a one-dimensional parabolic inverse problem by using the Bernstein Galerkin method
- A new method for exact product form and approximation solutions of a parabolic equation with nonlocal initial condition using Ritz method
- Recovering a time-dependent coefficient in a parabolic equation from overspecified boundary data using the pseudospectral Legendre method
- Numerical solution of two-dimensional parabolic equation subject to nonstandard boundary specifications using the pseudospectral Legendre method
- Operational matrices of Bernstein polynomials and their applications
- Numerical solution of non-linear Klein–Gordon equations by variational iteration method
- Sympletic Finite Difference Approximations of the Nonlinear Klein--Gordon Equation
- Exact Thermodynamics of the Double sinh-Gordon Theory in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>Dimensions
- On the numerical solution of stochastic quadratic integral equations via operational matrix method
- Computational Methods for Inverse Problems
- Electromagnetic Inverse Problems and Generalized Sommerfeld Potentials
- A time-nonlocal inverse problem for a hyperbolic equation with an integral overdetermination condition
- Solving fractional optimal control problems by new Bernoulli wavelets operational matrices
- A numerical solution of an inverse diffusion problem based on operational matrices of orthonormal polynomials
- Existence and uniqueness of an inverse problem for nonlinear Klein‐Gordon equation
- Exact and approximation product solutions form of heat equation with nonlocal boundary conditions using Ritz–Galerkin method with Bernoulli polynomials basis
- Determination of an unknown source term for an inverse source problem of the time-fractional equation
- Modified Galerkin algorithm for solving multitype fractional differential equations
- Spectral Methods
- An introduction to the mathematical theory of inverse problems
- Inverse problems for partial differential equations
- Chebyshev spectral methods for multi-order fractional neutral pantograph equations
This page was built for publication: Reconstruction of a time‐dependent coefficient in nonlinear Klein–Gordon equation using Bernstein spectral method
