[PDF] Top 20 A NUMERICAL SOLUTION OF AN INVERSE PARABOLIC PROBLEM
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A NUMERICAL SOLUTION OF AN INVERSE PARABOLIC PROBLEM
... the solution of an inverse problem for a linear equation with non-linear boundary conditions (radiation terms), via an auxiliary ...stable numerical algorithm based on the use of the ... See full document
15
RESOLUTION OF AN INVERSE PARABOLIC PROBLEM USING SINC-GALERKIN METHOD
... a numerical method is proposed to solve an Inverse Heat Conduction Problem (IHCP) using noisy data based on Sinc-Galerkin ...stable numerical solution is determined for the ...The ... See full document
22
An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions
... the solution of inverse problem ()-() is proved by using the Fourier method and the iteration ...the inverse problem is shown. In Section , the numerical procedure for the ... See full document
17
On an inverse problem in the parabolic equation arising from groundwater pollution problem
... an inverse problem to determine a source term in the parabolic equation, once the measured data are obtained at a later ...this problem is ill-posed, therefore the Tikhonov regularization ... See full document
23
Numerical Methods for Solving the Inverse Problem of Parameter Identification in Parabolic and Fourth-Order Partial Differential Equations
... the solution to the parabolic differential equation associated with a specific coefficient q ∈ A and z a finite set of data representing measurements of the solution to the ...true solution with ... See full document
119
Parameter determination in a parabolic inverse problem in general dimensions
... exact solution is u(x, t) = e t+1 x(x − 1) sin πy, and p(t) = 1 − ...exact solution p(t) together with the numerical one for various values of the noise parameter δ = 1%, 2% and 5% are shown in ... See full document
16
SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL EQUATION METHODS
... The problem of determining unknown parameters in a parabolic partial differential equation has been treated previously by some authors [2,4]. In some applications the boundary conditions are not all linear ... See full document
5
Parabolic Partial Differential Equations as Inverse Moments Problem
... of inverse moments problem. We will find an approximated solution and bounds for the error of the estimated solution using the techniques on moments ...one-phase inverse Stefan ... See full document
14
Numerical analysis of an inverse problem for the eikonal equation
... the inverse problem for an eikonal equation of determining the speed function using observations of the arrival time on a fixed ...optimisation problem for a quadratic functional with the state equa- ... See full document
28
Numerical solution and distinguishability in time fractional parabolic equation
... dependent inverse source problem with additional measurement data at a boundary point for the fractional diffusion equa- tion is ...the inverse mappings – and – ... See full document
12
r-Modified Crank-Nicholson difference scheme for fractional parabolic PDE
... the numerical solution of the mixed problem for the fractional parabolic equation is ...the solution of this difference ...the solution of this difference scheme for ... See full document
12
The method of fundamental solutions for an inverse boundary value problem in static thermo-elasticity
... The inverse problem of coupled static thermo-elasticity in which one has to determine the thermo-elastic stress state in a body from displacements and temperature given on a subset of the boundary is ... See full document
25
A numerical solution to an inverse unsteady-state heat transfer problem involving the Trefftz functions
... of inverse heat conduction problems [10-12] solved with the use of many numerical methods, including the Trefftz method ...unknown solution to a differential equation by means of a linear combination ... See full document
5
Solving the inverse problem of determining an unknown control parameter in a semilinear parabolic equation
... Liao in 1992 employed the basic ideas of the homotopy in topology to propose a general analytic method for nonlinear problems, namely homotopy analysis method (HAM) [18-24]. After this, many types of nonlinear problems ... See full document
11
Inverse problem for a time fractional parabolic equation
... The inverse problem of determining unknown coefficient in a linear parabolic equation by using over-measured data has generated increasing interest from engineers and scien- tists during the last few ... See full document
9
Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition
... the solution of problem ()-() by u = u(x, ...generalized solution of problem ()-() are considered in []. The numerical solution of problem ()-() is considered ... See full document
6
On polynomials of Sheffer type arising from a Cauchy problem
... cal solution of the inverse heat conduction problem was ...classical solution involves derivatives of all orders of the Cauchy ...the problem with the imposition of knowledge of the ... See full document
19
Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction
... based solution has been developed, followed by the Picard-type ...standard numerical discretisation methods would be preferable. Numerical results presented and discussed for a couple of physical ... See full document
31
Blow up solution and stability to an inverse problem for a pseudo parabolic equation
... an inverse problem for parabolic and pseudo- parabolic equations are studied in ...same problem without a strong damping term –u t ... See full document
8
Slowly Oscillating Solutions of a Parabolic Inverse Problem: Boundary Value Problems
... the solution V, q of Problem 2 can be easily obtained from that of the solution u, q of Problem ...the solution of Problem 2. We show that Problem 1 has a unique ... See full document
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