Variable Piecewise Interpolation Solution of the Transport Equation
نویسندگان
چکیده
In this paper, we construct a piecewise interpolation method of approximate solution the transport equation based on Newton polynomial two variables. We transform to algebraic form with numerical coefficients; leads us sequence iterations, which improves accuracy approximation. The is implemented in software and experiments are performed. possibility generalizations systems partial differential equations integro-differential discussed.
منابع مشابه
Implicit RBF Meshless Method for the Solution of Two-dimensional Variable Order Fractional Cable Equation
In the present work, the numerical solution of two-dimensional variable-order fractional cable (VOFC) equation using meshless collocation methods with thin plate spline radial basis functions is considered. In the proposed methods, we first use two schemes of order O(τ2) for the time derivatives and then meshless approach is applied to the space component. Numerical results obtained ...
متن کاملPiecewise Constant Solution of Non Linear Volterra Integral Equation
In this paper, modification in the computational methods, for solving Non-linear Volterra integral equations, is presented. Here, two piecewise constant methods are considered for obtaining the solutions. The first method is based on Walsh Functions (WF) and the second method is via Block Pulse Functions (BPF). Comparison between the two methods is presented by calculating the errors vis-à-vis ...
متن کاملNumerical solution of one dimensional contaminant transport equation with variable coefficient (temporal) by using Haar wavelet
In the present paper Haar wavelet method is implemented on advectiondispersion equation representing one dimensional contaminant transport through a porous medium. Non uniform flow is considered by assuming velocity and dispersion varying with time as an exponentially increasing function. Expressing the Haar wavelets in advection-dispersion equation into Haar series provides the main advantage ...
متن کاملSolution of the Fokker - Planck Transport Equation by Matrix Factorization
A matrix factorization method is used to solve the Fokker-Pianck (Landau) charged particle transport equation. By treating all phase space variables as discrete in analogy to S, neutronics, the collision term takes on a five-point difference form which is readily treatable by this method. In order to illustrate this technique, the energy deposited by fast ions in a geometrically spherical, Maxw...
متن کاملParallel Deterministic Solution of the Boltzmann Transport Equation for Semiconductors
Clock frequencies and hence single-threaded processing power of modern processors have saturated because of power constraints. As a consequence, the overall processing power in modern processors mostly stems from parallelization and vectorization. However, parallel processors can only be used efficiently with suitable parallel algorithms. Unfortunately, the design and implementation of such par...
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 Mathematical Sciences
سال: 2022
ISSN: ['1072-3374', '1573-8795']
DOI: https://doi.org/10.1007/s10958-022-05687-1