Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems
DOI10.1142/S0219876216500365zbMath1359.65176MaRDI QIDQ2972167
Ali H. Bhrawy, Mohamed A. Abdelkawy
Publication date: 7 April 2017
Published in: International Journal of Computational Methods (Search for Journal in Brave)
inverse problemsGauss-Lobatto quadraturesystems of ordinary differential equationspseudo-spectral schemenonlinear parabolic partial differential equations
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
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- A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations
- An efficient Jacobi pseudospectral approximation for nonlinear complex generalized Zakharov system
- A Jacobi spectral collocation method for solving multi-dimensional nonlinear fractional sub-diffusion equations
- Jacobi-Gauss-Lobatto collocation method for the numerical solution of \(1+1\) nonlinear Schrödinger equations
- A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations
- A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations
- Collocation methods for nonlinear convolution Volterra integral equations with multiple proportional delays
- On shifted Jacobi spectral method for high-order multi-point boundary value problems
- An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation method
- The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves
- Efficient spectral collocation algorithm for a two-sided space fractional Boussinesq equation with non-local conditions
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- A linearized compact difference scheme for an one-dimensional parabolic inverse problem
- Direct numerical method for an inverse problem of a parabolic partial differential equation
- Schur-decomposition for 3D matrix equations and its application in solving radiative discrete ordinates equations discretized by Chebyshev collocation spectral method
- A numerical solution technique for a one-dimensional inverse nonlinear parabolic problem
- A Jacobi-Gauss-Lobatto collocation method for solving generalized Fitzhugh-Nagumo equation with time-dependent coefficients
- Efficient spectral-Galerkin methods for polar and cylindrical geometries
- Quadratic spline collocation for one-dimensional linear parabolic partial differential equations
- Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations
- Jacobi spectral Galerkin method for elliptic Neumann problems
- Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type
- Ocean acoustic propagation by finite difference methods
- On the blow up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions
- Numerical solution of one-dimensional parabolic inverse problem
- Spectral collocation methods for Volterra-integro differential equations with noncompact kernels
- Tau approximate solution of weakly singular Volterra integral equations
- On the stability and convergence of a difference scheme for an one-dimensional parabolic inverse problem
- A stable numerical algorithm for identifying the solution of an inverse problem
- A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
- Solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via a collocation method and rationalized Haar functions
- Fast numerical solution of the electromagnetic medium scattering problem and applications to the inverse problem
- THE METHOD OF FUNDAMENTAL SOLUTIONS FOR AN INVERSE INTERNAL BOUNDARY VALUE PROBLEM FOR THE BIHARMONIC EQUATION
- Determination of space–time-dependent heat source in a parabolic inverse problem via the Ritz–Galerkin technique
- On Solving Linear and Nonlinear Sixth-Order Two PointBoundary Value Problems Via an Elegant HarmonicNumbers Operational Matrix of Derivatives
- APPLICATION OF THE METHOD OF FUNDAMENTAL SOLUTIONS FOR THE INVERSE PROBLEM OF DETERMINATION OF THE BIOT NUMBER
- METHOD OF FUNDAMENTAL SOLUTION FOR AN INVERSE HEAT CONDUCTION PROBLEM WITH VARIABLE COEFFICIENTS
- AN EFFICIENT NUMERICAL METHOD FOR SOLVING AN INVERSE WAVE PROBLEM
- SPECTRAL COLLOCATION METHOD FOR MULTI-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS
- Parabolic Partial Differential Equations with Nonlocal Initial and Boundary Values
- Stability and convergence of the spectral Galerkin method for the Cahn-Hilliard equation
- Spectral Methods
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