Recovering two constants in a linear parabolic equation
نویسندگان
چکیده
منابع مشابه
On a Quasi - Linear Parabolic Equation Occurring in Aerodynamics
where u — u(x, t) in some domain and v is a parameter. The occurrence of the first derivative in t and the second in x clearly indicates the equation is parabolic, similar to the heat equation, while the interesting additional feature is the occurrence of the non-linear term u du/dx. The equation thus shows a structure roughly similar to that of the Navier-Stokes equations and has actually appe...
متن کاملGlobal Uniqueness and Hölder Stability for Recovering a Nonlinear Source Term in a Parabolic Equation ‡
Consider the semilinear parabolic equation −ut(x, t) + uxx + q(u) = f(x, t), with the initial condition u(x, 0) = u0(x), Dirichlet boundary conditions u(0, t) = φ0(t), u(1, t) = φ1(t) and a sufficiently regular source term q(·), which is assumed to be known a priori on the range of u0(x). We investigate the inverse problem of determining the function q(·) outside this range from measurements of...
متن کاملAttractors for a Non-linear Parabolic Equation Modelling Suspension Flows
In this paper we prove the existence of a global attractor with respect to the weak topology of a suitable Banach space for a parabolic scalar differential equation describing a non-Newtonian flow. More precisely, we study a model proposed by Hébraud and Lequeux for concentrated suspensions.
متن کاملA New Two-stage Iterative Method for Linear Systems and Its Application in Solving Poisson's Equation
In the current study we investigate the two-stage iterative method for solving linear systems. Our new results shows which splitting generates convergence fast in iterative methods. Finally, we solve the Poisson-Block tridiagonal matrix from Poisson's equation which arises in mechanical engineering and theoretical physics. Numerical computations are presented based on a particular linear system...
متن کاملDifferential Transform Method to two-dimensional non-linear wave equation
In this paper, an analytic solution is presented using differential transform method (DTM) for a class of wave equation. The emphasis is on the nonlinear two-dimensional wave equation. The procedures introduced in this paper are in recursive forms which can be used to obtain the closed form of the solutions, if they are required. The method is tested on various examples, and the results reveal ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2007
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/73/1/012014