Search or add a thesis

Advanced Search (Beta)
Home > Haar Wavelet and Meshless Techniques for Elliptic and Parabolic Models With Interfaces

Haar Wavelet and Meshless Techniques for Elliptic and Parabolic Models With Interfaces

Thesis Info

Access Option

External Link

Author

Haider, Nadeem

Program

PhD

Institute

University of Peshawar

City

Peshawar

Province

KPK

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/13043/1/Nadeem_Haider_Maths_2018_HSR_UoP_Peshawar_06.08.2018.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676726353790

Similar


In this thesis, we consider two collocation methods, namely, Haar Wavelet Collocation Method (HWCM) and Meshless Collocation Method (MCM) with Radial Basis Functions (RBFs). Two new algorithms based on HWCM and MCM are developed for one-dimensional linear elliptic problems with single as well as double interfaces. The proposed methods are extended to include two- and three-dimensional elliptic problems. We also consider parabolic interface problems in which time derivative is involved. The time derivative is approximated bynite di erence and Crank-Nicolson schemes. Both the proposed methods are developed for linear parabolic problems as well. The new numerical methods are also applied to nonlinear elliptic and parabolic problems. The algorithms are designed for all the new developed methods. The MATLAB software is used for implementations and testing of all the new methods. Several numerical experiments are taken into account in order to check the performance of the new developed methods. The numerical results are compared with exact solution as well as existing methods in literature which show the superiority of the proposed methods. A comparative study between HWCM and MCM in terms of e ciency, accuracy and applicability is also performed.
Loading...
Loading...

Similar Books

Loading...

Similar Chapters

Loading...

Similar News

Loading...

Similar Articles

Loading...

Similar Article Headings

Loading...

بہن بھائی

بہن بھائی

                علی  اکبر ناطق اپنے بہن بھائیوں میں سب سے بڑے ہیں ان کے چھ بھائی ہیں۔ دو بھائی آرکی ٹیکٹ، کچھ کھیتوں میں کام کرتے ہیں اور کچھ نے اپنا خاندانی پیشہ ’’معماری ‘‘ جاری رکھا ہوا ہے۔ تمام بھائی ان سے چھوٹے ہیں۔ کل نو بہن بھائی ہیں ایک بہن تمام بہن بھائیوں سے چھوٹی ہے۔

                ان کے چھوٹے بھائی اصغر جن کی وفات ایک حادثے میں ہوئی۔وہ اپنی بہن کے بارے میں بتاتے ہیں کہ ان کا  نام خدیجہ تھا ،وہ سکول ٹیچر تھیں ،ان کا قتل ان کے شوہر نے کیا تھا اور ناطق وجہ بھی بتاتے ہیں کہ ان کے شوہر نے ان کا قتل انشورنس کے پیسوں کے لیے کیا تھا۔

تعلیمی نظام کی اصلاح کے بارے میں امام بخاری کا نظریہ

 Bukhari was an exemplary teacher. His teaching experiments, advices, and valuable analysis are beneficent even today. As he is famous for being expert in Ahaadeth (Muhadis), he is being ignored in the field of education.  His thoughts, described in Kitabul Ilm of Sahi Bukhari can be used to reform an education system. According to his advices, a teacher should be vocal, should understand and consider psychology of students. He should make groups of students on the basis of their intelligence, and should assign assignments to students to make them more confident. About questions asked by students during teaching, Imam says this is not beneficial. Teachers also should not be upset with proper questions asked by students. No one can become expert with his own study without consultation with an expert of the field.  Reading without the guidance of a teacher may be unhealthy.  Imam stressed even beginner students to do hard work and travel for research, and academic work.  To get knowledge and access to reliable teachers admission in an institution and fulfilling of all the requirements are necessary.  Imam Also considered women education necessary.  According to him women can get benefits only when their system is separate from men. Kitabul Ilm of Bukhari consists of advices for education system reforms. These advices can be used to reform the present education system. Purpose of this article is to analyze Imam Bukhari’s thoughts about education for understanding good and bad things in education.

The Impact of Social Class on Educational Achievement and Lived Experiences in Two Private A-Level Schools in Karachi

This study attempted to explore the effects of social class on educational achievement in two private Advanced-level (A-level) schools in Karachi. The schools that are generally known as ‘A-level schools’ in Pakistan are the ones that offer Cambridge International Examination (CIE) curriculum for A-level examination. By using semi-structured interviews and observations, the researcher sought to highlight how social class played out in different levels of achievement within the A-level stream, whereby the themes of grades/university admissions, lived experience of social class, advantages and disadvantages of belonging to a particular social class and teacher interaction were investigated using qualitative research methodology. This helped to point out and highlight how crucial social class is in terms of its effects on student achievement and how varied its effect could be. The Pakistani literature focusing on class distinctions and education generally focus on three different streams of schools i.e. madrassa, government and private. This research focuses on English medium stream and particularly the A-level schools, which are supposedly catering the higher social class. The research findings indicate a case of ‘class within class’ whereby relative deprivation exists within this stream. The research findings indicate that relative poverty disadvantages students in a number of ways, such as low availability of resources and to overcome that, students work part-time. This then has effect on their performance and career ambitions. Therefore, the study recommends that in any overhauling of the system of education within the country, care must be taken to address the fundamental class barriers that create fissures in our educational system and educational experience of many of our students. This study can be taken to be a first step to bringing about meaningful educational change in A-level schools in Karachi where barriers to learning for the lower socioeconomic classes are addressed.