14 citations · 30 across the 13 of their papers we have counts for
9 papers · 1 filter
A Source Identification Problem for the Bi-Parabolic Equation Containing a Poly-harmonic Operator
Dang Duc Trong, Bui Thanh Duy, Nguyen Dang Minh
In this paper, we address the source identification problem for the bi-parabolic equation involving a operator. Specifically, we investigate the equation $(\partial_t +\frak A)^2u(…
The nonlinear fractional diffusion equations with Nagumo-type sources and perturbed orders
Nguyen Minh Dien, Erkan Nane, Dang Duc Trong
We consider a class of nonlinear fractional equations having the Caputo fractional derivative of the time variable , the fractional order of the self-adjoint positive definite u…
A Two Dimensional Backward Heat Problem With Statistical Discrete Data
Nguyen Dang Minh, To Duc Khanh, Nguyen Huy Tuan +1
In this paper, we focus on the backward heat problem of finding the function such that \[ {l l l} u_t - a(t)(u_{xx} + u_{yy}) & = f(x,y,t), & \qquad (x,y,t) \in Ω…
Approximation of mild solutions of the linear and nonlinear elliptic equations
Nguyen Huy Tuan, Dang Duc Trong, Le Duc Thang +1
In this paper, we investigate the Cauchy problem for both linear and semi-linear elliptic equations. In general, the equations have the form \[ \frac{\partial^{2}}{\partial t^{2}}u…
A new stability results for the backward heat equation
Alain Pham Ngoc Dinh, Dang Duc Trong, Pham Hoang Quan +1
In this paper, we regularize the nonlinear inverse time heat problem in the unbounded region by Fourier method. Some new convergence rates are obtained. Meanwhile, some quite sharp…
Determine the source term of a two-dimensional heat equation
Dang Duc Trong, Truong Trung Tuyen, Phan Thanh Nam +1
Let be a two-dimensional heat conduction body. We consider the problem of determining the heat source with be given inexactly and be unknown. The pr…