DIRECT TIME INTEGRATION METHOD FOR THE TRANSIENT HEAT CONDUCTION EQUATION

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The method of fundamental solutions for transient heat conduction in functionally graded materials: some special cases

In this paper, the Method of Fundamental Solutions (MFS) is extended to solve some special cases of the problem of transient heat conduction in functionally graded materials. First, the problem is transformed to a heat equation with constant coefficients using a suitable new transformation and then the MFS together with the Tikhonov regularization method is used to solve the resulting equation.

متن کامل

A Comparative Study of Numerical Techniques for 2D Transient Heat Conduction Equation Using Finite Element Method

Temperature decay in an aluminium plate is observed using Galerkin finite element method for 2D transient heat conduction equation. Taking ∆t of 0.001 hr , temperature variation is studied using unconditionally stable first order and second order accurate schemes backward Euler and modified CrankNicholson respectively. A comparative study has been made taking different combinations of meshes an...

متن کامل

Finite integration method with RBFs for solving time-fractional convection-diffusion equation with variable coefficients

In this paper, a modification of finite integration method (FIM) is combined with the radial basis function (RBF) method to solve a time-fractional convection-diffusion equation with variable coefficients. The FIM transforms partial differential equations into integral equations and this creates some constants of integration. Unlike the usual FIM, the proposed method computes constants of integ...

متن کامل

Stability of Charlie’s Method on Linear Heat Conduction Equation

Explicit schemes are attractive for obtaining finite difference solutions to partial differential equations because of their simplicity. However this feature is undermined by the severe restriction on stability that the schemes suffer. One method that appears to have better stability properties is Charlie’s method. The stability region of this method applied to a one-dimensional heat conduction...

متن کامل

Splitting schemes for hyperbolic heat conduction equation

Rapid processes of heat transfer are not described by the standard heat conduction equation. To take into account a finite velocity of heat transfer, we use the hyperbolic model of heat conduction, which is connected with the relaxation of heat fluxes. In this case, the mathematical model is based on a hyperbolic equation of second order or a system of equations for the temperature and heat flu...

متن کامل

ذخیره 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: Proceedings of the Japan Society of Civil Engineers

سال: 1981

ISSN: 1884-4936,0385-5392

DOI: 10.2208/jscej1969.1981.313_23