Approximate Solutions of the Two-Dimensional Integral Transport Equation by Collision Probability Methods

1977 ◽  
Vol 64 (2) ◽  
pp. 384-404 ◽  
Author(s):  
Richard Sanchez
Keyword(s):  
Transport Equation ◽  
Approximate Solutions ◽  
Collision Probability ◽  
Two Dimensional ◽  
Probability Methods ◽  
Integral Transport ◽  
Dimensional Integral

scholarly journals Approximate solutions for two dimensional problems in water pollution – component suppression schemes

2000 ◽  
Vol 22 (22) ◽  
pp. 25 ◽  
Author(s):  
Jorge R. S. Zabadal
Keyword(s):  
Water Pollution ◽  
Transport Equation ◽  
Hybrid Method ◽  
High Speed ◽  
Approximate Solutions ◽  
Analytical Form ◽  
Two Dimensional ◽  
Transport Models ◽  
Transient Dispersion ◽  
Low Performance

In this work, a new hybrid method for solving problems in water pollution is proposed. The method furnishes approximate solutions for the two-dimensional transport equation in analytical form, in cases when the coupling between the hydrological and transport models can be neglected. The high speed processing of the scheme allows to simulate the transient dispersion in real time using low performance microcomputers.

State-of-the-Art of Modeling Surface Water Impoundments

1982 ◽  
Vol 14 (1-2) ◽  
pp. 241-261 ◽  
Author(s):  
P A Krenkel ◽  
R H French
Keyword(s):  
Water Quality ◽  
Surface Water ◽  
State Of The Art ◽  
Rate Coefficients ◽  
Two Dimensional ◽  
One Dimensional ◽  
Integral Energy ◽  
Range Of Values ◽  
Dimensional Integral ◽  
Water Impoundment

The state-of-the-art of surface water impoundment modeling is examined from the viewpoints of both hydrodynamics and water quality. In the area of hydrodynamics current one dimensional integral energy and two dimensional models are discussed. In the area of water quality, the formulations used for various parameters are presented with a range of values for the associated rate coefficients.

Approximate solutions of nonlinear two‐dimensional Volterra integral equations

2021 ◽  
Author(s):  
Sumbal Ahsan ◽  
Rashid Nawaz ◽  
Muhammad Akbar ◽  
Kottakkaran Sooppy Nisar ◽  
Dumitru Baleanu
Keyword(s):  
Integral Equations ◽  
Approximate Solutions ◽  
Volterra Integral Equations ◽  
Two Dimensional

scholarly journals Solving two-dimensional integral equations

2011 ◽  
Vol 23 (1) ◽  
pp. 111-114 ◽  
Author(s):  
F. Bazrafshan ◽  
A.H. Mahbobi ◽  
A. Neyrameh ◽  
A. Sousaraie ◽  
M. Ebrahimi
Keyword(s):  
Integral Equations ◽  
Two Dimensional ◽  
Dimensional Integral

scholarly journals A note on time-fractional Navier–Stokes equation and multi-Laplace transform decomposition method

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Hassan Eltayeb ◽  
Imed Bachar ◽  
Yahya T. Abdalla
Keyword(s):  
Numerical Simulation ◽  
Approximate Solution ◽  
Decomposition Method ◽  
Adomian Decomposition Method ◽  
Approximate Solutions ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Navier Stokes Equation ◽  
Adomian Decomposition ◽  
Stokes Problems

Abstract In this study, the double Laplace Adomian decomposition method and the triple Laplace Adomian decomposition method are employed to solve one- and two-dimensional time-fractional Navier–Stokes problems, respectively. In order to examine the applicability of these methods some examples are provided. The presented results confirm that the proposed methods are very effective in the search of exact and approximate solutions for the problems. Numerical simulation is used to sketch the exact and approximate solution.

Global Existence for the Two-Dimensional Euler Equations in a Critical Besov Space

2011 ◽  
Vol 271-273 ◽  
pp. 791-796
Author(s):  
Kun Qu ◽  
Yue Zhang
Keyword(s):  
Global Existence ◽  
Transport Equation ◽  
Besov Space ◽  
Euler Equations ◽  
Existence Result ◽  
Two Dimensional ◽  
Critical Besov Space ◽  
Global Existence Result

In this paper we prove the global existence for the two-dimensional Euler equations in the critical Besov space. Making use of a new estimate of transport equation and Littlewood-Paley theory, we get the global existence result.

Sign in / Sign up

Export Citation Format

Share Document