Subscribe to the gold package and get unlimited access to Shamra Academy
Register a new userComparison of Methods Using Finite Differences and Finite Elements are used to obtain Approximate Solutions for The Advection Equation
مقارنة بين طرائق تستخدم الفروق المنتهية و أخرى تستخدم العناصر المنتهية للحصول على حلول تقريبية لمعادلة الحمل غير الخطية
772
0 30
0
(
0
)
Created by
Shamra Editor
Ask ChatGPT about the research
يقدم هذا البحث مقارنة بين بعض الحلول التقريبية لمعادلة الحمل تسختدم هذه الحلول نوعين من الطرائق العددية، الأول يستخدم بعض طرائق الفروق المنتهية، و هي طريقة كرانك نيكلسون و طريقة الفروق المنتهية الضمنية اللوغارتمية أما الآخر يستخدم إحدى طرائق العناصر المنتهية، و هي طريقة ب-سبلين التكعيبية ذات الفروق التربيعية المُعدلة باستخدام ثلاثة أشكال لدوال القاعدة.
In this paper, we comparison of some approximate solutions for the Advection equation. This solutions built on numerical methods to obtain approximate others, depending on two different ways; the first is Finite Difference Methods, using Crank-Nicholson Method, and Implicit Logarithmic Finite Differences Method, and second is The Finite Elements Methods, throw modified cubic BSpline differential quadrature method using types for Basis functions (MCBDQM), (EMCB-DQM), and (Expo-MCB-DQM).
References used
ARORA G, SINGH BK,-2013-Numerical solution of Burgers’ equation with modified cubic B-spline differential quadrature method. Appl Math Comput ,224,166–77
BAKODAH HO, 2016-A Comparative Study of Two Spatial Discretization Schemes for Advection equation. International Journal of Modern Nonlinear Theory and Application, 5, 59-66
CAUSON D M, MINGHAM C G,2010- Introductory Finite Difference Methods For PDES. Ventus Publishing
rate research
Read More
In this paper, we present approximate solutions for the
Advection equation by finite differences method. In this method we
convert the nonlinear partial differential equation into a system of
nonlinear equations by some finite differences methods.
Then this
system was solved by Newton's method. And we made a program
implementing this algorithm and we checked the program using
some examples, which have exact solutions, then we evaluate our
results. As a conclusion we found that this method gives accurate
results for Advection equation.
Reconstruction of mandibular defects after trauma or tumor resection is one of
the most challenging problems facing by maxillofacial surgeons. Few mandibular defects require not just
a fixation of an implant, but the reconstruction of the entire ma
ndible. The aim of this study was to design
a mandibular prosthesis for a mandibular cancer patient and study its efficacy by stress–strain related
mechanical property using finite element analysis (FEA).
In this paper, the modeling methods of tunneling and the surface subsidence induced by
that have been studied by using two-dimensional numerical analysis according to the FEM
method, assuming the green field condition، which means that there is no
load on the soil
surface above the tunnel. A FE study was conducted in which an elasto-plastic constitutive
model was adopted to model the soil behavior (HS, HSsmall).
This article includes a comparison between the results of numerical analysis and field
measurements to executed projects، and a suggested method for modeling tunnel
excavation and surface subsidence induced by that.
In this paper, we introduce an algorithm to solve the
Advection equation by finite element method. In this method, we
have chosen Three pattern of cubic B-Spline to approximate the
nonlinear solution to convert the nonlinear PDE into a system of
ODE, Then we solved this system equation by SSP-RK54 method,
And we made a program implementing this algorithm and we
checked the program using some examples, which have exact
solutions, then we evaluate our results. As a conclusion we found
that this method gives accurate results for advection equation.
This paper presents the use of finite Matrices to encrypt messages encoded
using ASCII system, dependent on the method (Hill cipher) 1929 by:
1. Using finite Matrices to divide the text into partial Matrices.
2. Depending on encoding ASCII (ASCII
Coding).
3. Using the matrices A,X,B have special conditions to make Hill function
( f(X)=(A.X+B)mod(n)) able to encrypt the text P that corresponding in the matrix. This matrix contains partial Matrices to get encryption messages with different keys to make it difficult to break, and save the security of information in the texts.
4. Method can be applied on the computer to give quick and great results.
Log in to be able to interact and post comments
comments
Fetching comments
Sign in to be able to follow your search criteria
