n-Dimensional first integral and similarity solutions for two-phase flow
نویسندگان
چکیده
منابع مشابه
Constructing Two-Dimensional Multi-Wavelet for Solving Two-Dimensional Fredholm Integral Equations
In this paper, a two-dimensional multi-wavelet is constructed in terms of Chebyshev polynomials. The constructed multi-wavelet is an orthonormal basis for space. By discretizing two-dimensional Fredholm integral equation reduce to a algebraic system. The obtained system is solved by the Galerkin method in the subspace of by using two-dimensional multi-wavelet bases. Because the bases of subs...
متن کاملN-dimensional fractional Fokker-Planck equation and its solutions for anomalous radial two-phase flow in porous media
In this paper we present a time fractional Fokker–Planck equation (fFPE) for radial twophase flow of liquid and gas in porous media. The fFPE of order a is solved for both twoand three-dimensional flow patterns using the Laplace transform method. The general solutions of the fFPE for both twoand threedimensional flows are given as a convolution integral of the input and a kernel in the Laplace ...
متن کاملSelf-similarity in two-phase curvature flow
In this work, we present a family of exact self-similar solutions for the distribution of enclosed areas under mean curvature flow on the union of disjoint closed curves in the plane. To our knowledge, this is the first example of closed-form exact self-similar solutions for the mean curvature flow. We perform numerical simulations for large sets of initial data obtained as the zero level set o...
متن کاملNumerical solution of two-dimensional integral equations of the first kind by multi-step methods
In this paper, we develop multi-step methods to solve a class of two-dimensional nonlinear Volterra integral equations (2D-NVIEs) of the first kind. Here, we convert a 2D-NVIE of the first kind to a one-dimensional linear VIE of the first kind and then we solve the resulted equation numerically by multi-step methods. We also verify convergence and error analysis of the method. At t...
متن کاملSOLVING NONLINEAR TWO-DIMENSIONAL VOLTERRA INTEGRAL EQUATIONS OF THE FIRST-KIND USING BIVARIATE SHIFTED LEGENDRE FUNCTIONS
In this paper, a method for finding an approximate solution of a class of two-dimensional nonlinear Volterra integral equations of the first-kind is proposed. This problem is transformedto a nonlinear two-dimensional Volterra integral equation of the second-kind. The properties ofthe bivariate shifted Legendre functions are presented. The operational matrices of integrationtogether with the produ...
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: The ANZIAM Journal
سال: 2003
ISSN: 1446-1811,1446-8735
DOI: 10.1017/s1446181100008087