In this paper, a semilinear parabolic problem with an unknown time-dependent source function p t) is studied.
In this research, the He's variational iteration technique is used for computing an unknown time-dependent parameter in an inverse quasilinear parabolic partial differential equation.
Determination of an unknown time-dependent function in parabolic partial differential equations, plays a very important role in many branches of science and engineering.
First, the part of the multiple scales method used to reduce the problem to a set of differential equations is used to express the solution as a sum of terms of various harmonics with unknown, time dependent coefficients.
In the augmented smoother, the unknown, time dependent coefficients are included in the state vector and have a stochastic component.
The conjugate gradient method, i.e., the iterative regularization method, is used in an inverse non-linear force vibration problem of estimating the unknown time-dependent external forces in a damped system with the displacement-dependent spring constant and damping coefficients.
An inverse algorithm based on the Iterative Regularization Method (IRM) is applied in this study in determining the unknown time-dependent reaction coefficient for an autocatalytic reaction pathway by using measurements of concentration components.
An inverse non-linear force vibration problem based on the iterative regularization method, i.e., the conjugate gradient method (CGM), is used to estimate the unknown time-dependent external forces in a damped system having time-dependent system parameters by using the measured system displacement.
The inverse problem of identifying the unknown time-dependent function α(t) from an additional integral measurement E t)="∫Ωg u t,x dx is investigated.
GIPSY-OASIS adopts a Kalman filter-based (KF) approach, which is useful for estimating the unknown time-dependent parameters.
In this study, an inverse algorithm based on the conjugate gradient method and the discrepancy principle is applied to simultaneously estimate the unknown time-dependent inner and outer boundary heat fluxes in a functionally graded hollow circular cylinder from the knowledge of temperature measurements taken within the cylinder.
