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Nonclassical Symmetry Analysis of Some Nonlinear Differential Equations

Thesis Info

Author

Maria Mahmood Rana

Supervisor

Saleem Ahmed

Department

Department of Mathematics

Program

RMT

Institute

COMSATS University Islamabad

Institute Type

Public

City

Islamabad

Province

Islamabad

Country

Pakistan

Thesis Completing Year

2018

Thesis Completion Status

Completed

Subject

Mathematics

Language

English

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676720715080

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ناول

اُس کا گاؤںسو، سوا سو کچے اور دو پکے گھروں پر مشتمل تھا۔ اُس کا گاؤں دریائے راوی کا وہ اندھا طاقت ور پانی تھا جو کبھی تو ارد گرد کی زمین پر بھی بھل ڈال کر اُسے اور بھی طاقت ور اور زرخیز بناتا تو کبھی لہلہاتی فصلوں، کچے مکانوں اور دیواروں کو اپنے ساتھ بہا کر لے جاتا۔گہرے مٹیالے رنگ کا وہ جھاگ والا ٹھنڈا پانی زندگی اور موت کا جدا جدا رنگ تھا۔اُس کا گاؤں وسیع و عریض برساتی نالے کے ریتلے پیٹ میں کہیں کہیں بنے ہوئے وہ جوہڑ تھے، جن کے نم آلود کناروں پر ریت کو کھود کھود کر ہل چلانے والے ، چرواہے اور مسافر چھوٹے چھوٹے گڑھے بناتے، وہ گڑھے نتھرے ہوئے پانی سے بھر جاتے تو وہ اِس پانی سے اپنی پیاس بجھا لیتے۔:وہ جوہڑ جو برساتی نالہ خشک ہو جانے پر بھی پانی سے بھرے رہتے تھے، وہ جوہڑ جن میں نوجوان چرواہے تپتی دھوپ میں چھوٹے چھوٹے گول سینگوں والی بھینسوں کو نہلاتے، ایک دوسرے کی دیکھا دیکھی بھینسوں کے جسم کو چمکاتے اور خود ڈبکیاں لگاتے ہوئے نہاتے۔
اُس کا گاؤں پورب کی وہ ٹھنڈی ہوا تھی جو شام کو چلتی تو سانپ اور دیگر کیڑے مکوڑے اپنی قیام گاہوں سے نکل کر لہلہاتے خوب صورت کھیتوں کی پگڈنڈیوں پر بے خوف لیٹ جاتے۔ اُس کا گاؤں جیٹھ ہاڑ کی چلچلاتی اور ویران دوپہروں کی طرح تھا جن میں کنوارے لڑکے اکیلے خوشبو لگا کر باہر نکلنے سے خوف کھاتے تھے کہ کہیں چڑیلیں اُن کا کلیجہ نہ نکال لیں۔ اُن گرم دوپہروں میں چرواہے اپنے مویشیوں کو ماؤں جیسے مہربان شیشم کے درختوں کی چھاؤں میں جگالی کرتے چھوڑ کر اُن کے پاس بیٹھ کر اڈہ کھڈہ کھیلتے یا پھر فحش گانے گاتے۔
اُس کا گاؤں ساون بھادوں کی ہواؤں کے وہ تیز جھونکے...

Accounting Guidelines Implementation: A Study on Economic Development of Islamic Boarding Schools

The development of Islamic boarding schools is one of the targets for sharia economic development which is based on the understanding of the halal value chain where the development of Islamic economics and finance summarizes various initiative programs including the development of Islamic boarding schools. The purpose of this study is to describe how the implementation of the Islamic Boarding School Accounting Guidelines at Al Huda Islamic Boarding School which is more focused on the readiness of HR at Al Huda Islamic Boarding School in applying the Islamic Boarding School Accounting Guidelines. The Al Huda Islamic boarding school was chosen as the research locus because the Al Huda Islamic Boarding School was appointed by Bank Indonesia Gorontalo Representative Office as a pilot project for the Pesantren (Islamic Boarding School) which applies the Islamic Boarding School Accounting Guidelines. The stages of the research method began with observations and results of interviews with informants from the board of the Al-Huda Islamic Boarding School. The results showed that there was a desire to apply these guidelines in the Al-Huda Islamic boarding school. Even though treasurers, secretaries and operators do not have a basic knowledge of the Economics of Accounting, the existing human resources are ready to apply the Pesantren accounting guidelines, of course, adjusting to the needs of the Al-Huda Islamic boarding school. The author sees that there is no urgency in implementing Islamic boarding school accounting guidelines at the Al-Huda Islamic boarding school because the reporting entity is the foundation that houses the Al-Huda Islamic boarding school, the Al Huda Islamic Education and Da'wah Foundation, Gorontalo. The foundation is fully responsible for the donors or the community.

Reflect Arrays for High Gain Applications

This research work focuses on design and analysis of low-cost, single-layer broadband reflectarrays for X-band applications. Traditionally, parabolic reflectors and phased arrays were introduced to obtain the high gain. The disadvantages associated with traditional antenna types include: narrow bandwidth, high fabrication cost and complex feed networks. Recently, reflectarray antennas have been developed to overcome the disadvantages associated with parabolic reflectors and phased arrays. High gain reflectarray antennas are typically employed in radars, satellite communication and direct broadcasting applications. Four different type of delay-lines integrated reflectarray elements which include: single circular delay-line, pair of circular delay-lines, quad-meander and T-shape delay-lines are designed to obtain a broad linear phase range, high gain and good aperture efficiency. The reflectarray unit element performance is investigated in terms of phase range, Transverse Electric (TE) and Transverse Magnetic (TM) modes and far-field radiation patterns. The reflectarray unit element is analyzed by using circuit model technique and equivalent circuit results are verified through High Frequency Structure Simulator (HFSS™). The circuit model technique replaces the lengthy full-wave simulation of FEM method. This method provides fast and accurate calculation of electromagnetic parameters i.e. magnitude and phase range. The unit element shape and configurations are used to extract the lumped parameters and reflection characteristics. The reflectarray antenna system contains a feed horn antenna and an arrangement of phase shifting array elements. A hybrid Finite Element Boundary Integral (FEBI) method is used for electromagnetic modeling of reflectarray antenna system. The FEBI method provides accurate electromagnetic analysis of complex and medium-to-large sized structures. The reflectarray far-field radiation characteristics are obtained by using the hybrid FEBI method. The reflectarray antenna system model comprises of feed horn antenna and array of phase shifting elements. The feed horn antenna and array elements are designed separately. The effect of the incident angle, feed-to-diameter ratio and transmission modes can easily be considered in the FEBI based system simulations. The proposed reflectarray prototypes are fabricated and measured on a low-cost FR-4 substrate. The reflectarray antenna measurements are made in anechoic chamber. A gain of more than 20 dBi is realized for the proposed reflectarray configurations. The simulated and measured cross polarizations and side-lobe-levels are below -20 dB in all design configurations. More importantly, simulated results are in good agreement with the measured results.