|
|
The Australian Journal of Mathematical Analysis and Applications
ISSN 1449-5910 |
|
||||||||||||
|
|
||||||||||||
Paper's Title:
An Easy and Efficient Way for Solving A class of Singular Two Point Boundary Value Problems
Author(s):
Muhammed I. Syam, Muhammed N. Anwar and Basem S. Attili
Mathematical Sciences Department
United Arab Emirates University, P. O. Box 17551
Al-Ain, United Arab Emirates
b.attili@uaeu.ac.ae
Abstract:
We will consider an efficient and easy way for solving a certain
class of singular two point boundary value problems. We will
employ the least squares method which proved to be efficient for
this type of problems. Enough examples that were considered by
others will be solved with comparison with the results presented
there.
Paper's Title:
The Iterated Variational Method for the Eigenelements of a Class of Two-Point Boundary Value Problems
Author(s):
Muhammed I. Syam and Qasem M. Al-Mdallal
Department of Mathematical Sciences, College of Science, UAE University,
P. O. Box 17551, Al-Ain,
United Arab Emirates
Q.Almdallal@uaeu.ac.ae
M.Syam@uaeu.ac.ae
Abstract:
The iterated variational method is considered in the approximation
of eigenvalues and eigenfunctions for a class of two point boundary
value problems. The implementation of this method is easy and
competes well with other methods. Numerical examples are presented
to show the efficiency of the method proposed. Comparison with the
work of others is also illustrated.
Paper's Title:
Multistage Analytical Approximate Solution of Quasi-Linear Differential- Algebraic System of Index Two
Author(s):
Ibrahim M. Albak, F. A. Abdullah* and Zarita Zainuddin
School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 USM, Penang,
Malaysia.
E-mail: ibra13975@gmail.com,
farahaini@usm.my,
zarita@usm.my
Abstract:
In this paper, a new Multistage Transform Method (MSDTM) has been proposed by utilizing a well-known transformation technique, the Differential Transform Method (DTM), to solve Differential Algebraic Equations (DAEs) with index 2. The advantage of the proposed scheme is that it does not require an index reduction and extends the convergence domain of the solution. Some examples for various types of problems are carried out to show the ability of MSDTM in solving DAEs. The results obtained are in good agreement with the existing literature which demonstrates the effectiveness and efficiency of the proposed method.
Paper's Title:
Corrigendum for Multistage Analytical Approximate Solution of Quasi-Linear Differential- Algebraic System of Index Two
Author(s):
Ibrahim M. Albak, F. A. Abdullah* and Zarita Zainuddin
School of Mathematical Sciences,
Universiti Sains Malaysia,
11800 USM, Penang,
Malaysia.
E-mail: ibra13975@gmail.com,
farahaini@usm.my,
zarita@usm.my
Abstract:
This article is a corrigendum to AJMAA Volume 18, Issue 2, Article 13, {PDF Link}.
Search and serve lasted 0 second(s).