پاکستانی جامعات میں سامی مذاہب پر علومِ اسلامیہ کے(ایم فل ،پی ایچ ڈی) اردو سندی مقالات کا اشاریہ و شماریاتی جائزہ

Urdu Dissertations of Islamic Studies on Semitic Religions (MPhil, PhD) in Pakistani Universities: An Index and Bibliometric Review Study of religions or Comparative Religions is a globally significance subject. Pakistan is also resourceful in this field. In many universities, there are special departments on this valuable subject. It is taught as compulsory course at BS & MA level in the departments of Isalmic studies in all universities. In many universities it’s also taught at MPhil and PhD level, some of them have produced hundreds of MS and PhDs dissertations on this subject. Due to its importance, it was a dire need to review and compile the titles of theses and dissertations, which are produced from the universities on the subject. In this study, efforts are made to review and compile a comprehensive index of such theses at MPhil and PhD level from Pakistani universities with statistical analysis. Due to its huge amount, the data is divided into two major types, Semitic and non-Semitic religions. The current study covers only Semitic/ Revealed and related topics. The word Semitic refers to the race of the son of Prophet Noah (A.S) or the areas where this race was spread and grew. Semitic Religions consists of; Judaism, Christianity and Islam. In this study, Biblometric approach is adopted with mix method approach. Total 393 theses of Islamic Studies on Semitic Religions are compiled and statistically evaluated in this paper. The study concludes that a good deal of literature and dissertations are available in Pakistani universities on Comparative Religions and Interfaith Studies. It is recommended that contents of theses should be analyzed for improvement of the Study of Religions in Pakistan

Numerical Methods for Solving Obstacle Problems

It is well known that a wide class of obstacle and unilateral problems can be studied in the unified framework of variational inequalities. Using the penalty function method, the variational inequalities are characterized by a system of boundary value problems in conjunction with the known obstacle. We use the variational iteration method for solving the system of boundary value problems associated with the obstacle problems. Several examples of second, third, fourth and fifth-orders system of boundary value problems are given to illustrate the efficiency and implementation of the variational iteration method. Comparison with the homotopy perturbation technique demonstrates that the variational iteration technique performs better.