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U/U Expansion Method for Solitary Wave Solutions of Partial Differential Equations and System of Equations

Thesis Info

Author

Qaisar Shahzad Khan

Supervisor

Bashir Sadiq

Institute

Riphah International University

Institute Type

Private

Campus Location

Faisalabad Campus

City

Faisalabad

Province

Punjab

Country

Pakistan

Thesis Completing Year

2016

Thesis Completion Status

Completed

Page

vii, 78 . : ill. ; 30 cm.

Subject

Mathematics

Language

English

Other

English; Call No: 510 QAI

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676712123623

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آہ! حضرت مولانا شاہ امان اﷲ پھلوارویؒ
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النورسي ومعالجته النقدية الايجابية البناءة للقضايا

From the very first day, the scholars of the Ummah, Particularly from the time of Im฀m Sh฀f฀ movements of Islamic thought originated, which affected not only the Arabic world but the whole Islamic world. There had been movements of severe revenge and bloodshed and a lot of people were killed. Im฀m Nawras฀ is one of those unique people who served the Islamic thought from such dangerous storms. Day and night he made selfless efforts. He criticized the falsehood and injustice. The period of Im฀m Nawras฀ was plagued with severe gales of argumentations. This became the cause of Invitational, reformative and renewing movement of Im฀m Nawras฀. It faced the western and European attacks which appeared after Industrial and ideological revolutions of Europe. Before starting the movement, he did deep study of current affairs, Islamic thought and history. He studied the reasons due to which chaos of Islamic thought began. It was necessary to study all the situations and to fight with the contemporary Atheistic thought and wipe out its effects. So this article discusses intellectual contributions of Im฀m Nawras฀. He is great in handling the critical situation, and his conservative positive criticism is excellent. He is one of those luckiest persons who survived and got a chance to serve humanity. He was unique in handling intellectual issues away from dialectical demagoguery. Im฀m Nawras฀ really worked great for Islam. His principles regarding intellectual positive criticism, his philosophical thoughts, his criticism on mystic issues are presented here in this article. It is important to study and analyze Nawras฀ ’s amazing ability and his critical positive approach and treatment of constructive issues away from the ego.

Efficiency and Quality Nexus: Evidence from Health Care Facilities in Pakistan

The existence of inefficiencies in health care provision is a major health policy concern in the developing countries. Health system of Pakistan mainly constitutes public and private sectors and the private sector covers almost 70 percent of the population. Increasing role of private sector and burden of out of pocket health expenditures highlight the need to investigate the performance of hospitals of private sector. In the first chapter, this study has estimated the technical efficiency of private hospitals of Pakistan for ambulatory services and inpatients care. The data has been used from a survey conducted by Pakistan Bureau of Statistics in 2010-11. Efficiency scores are estimated using Stochastic Frontier Analysis. At second stage, we have explored whether private hospitals in Pakistan increase their efficiency in response to an enhancement in neighboring regions efficiency level. This spatial regression analysis has been done using Spatial Lag Model and Spatial Error Model. We find that efficiency scores of Pakistan’s private hospitals are quite low. Not a single hospital is found to be working on full efficiency level. Moreover, the findings of the second stage analysis showed that efficiency has a positive spillover for Outpatient care for small hospitals. Contrary to it, big hospitals have spatial dependence in inpatients care. We concluded that small hospitals compete in outpatients department with the motive of profit maximization, whereas big hospitals compete in inpatients care with the same motive. In the second chapter, this study has estimated the technical efficiency of public hospitals in Pakistan for obstetric services. The data is taken from the Health Facility Assessment Survey which was conducted by ministry of health, Pakistan in 2010-11. Efficiency scores are estimated using parametric technique Stochastic Frontier Analysis (SFA). The relationship between efficiency and quality is explored using Least Square Dummy Variables (LSDV) and Two-Stage Residual Inclusion (2SRI). The efficiency scores of Pakistan’s public hospitals in obstetric services are found to be quite low. Moreover, the relationship between a hospital’s efficiency and the quality of service it provides is found to be positive and statistically significant. We concluded that risk of maternal and neonatal mortality is lower in more efficient hospitals as compared to the less efficient ones. The findings have policy implication that efficiency gains can be achieved without the loss of quality of services provided by the hospitals. An effective healthcare system can operate properly if it considers patients’ perceptions (perceived quality) and modifies itself according to the feedback. The assessment of patients’ point of view (perceptions) not only is important to identify the problems in quality assessment, but it will also provide a way forward towards improvement in the existing condition of public healthcare system. In the third chapter, this study has explored the relationship between technical efficiency of health care units (DHQs hospitals), and the patients’ perceptions about the quality of services with respect to mother and child health. The data on patient’s perceptions’ and other control variables are taken from Client Exit Interviews that was part of HFA survey. Three techniques are used to form satisfaction index such as equal weights, Principal Component Analysis and Polychoric Principal Component Analysis for robustness. Two stage residual inclusion, Ordered Logistic Regression and Least square dummy variable techniques are used to investigate the relation between technical efficiency of a hospital and patients satisfaction level. The findings of this chapter reveal negative association exists between efficiency and patients’ perceptions which indicates with the increase in hospital efficiency, the satisfaction level of the patients tends to decrease. According to the findings of disaggregated analysis, the patients’ level of satisfaction which is associated with the healthcare provider attitude is more affected by the technical efficiency.