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قصہ گو کردار بنا

قصہ گو کردار بنا
مجھ کو پُراَسرار بنا

خود آگاہی نعمت ہے
اس کو مت آزار بنا

بولنے والی آنکھوں کو
دل میں رکھ دلدار بنا

حسن و عشق سے آگے بھی
دنیا ہے، معیار بنا

شعر میں اس کا قصہ چھیڑ
شعر فضاؔ شہکار بنا

جدید علوم کی تدریس اسلامی تعلیمات کے تناظر میں

Education is a compulsory component of life. The first man of this world Adam (A.S) has got his basic education through the angels by the permission and grace of Almighty Allāh. In the light of the Qur’ānic verse “and He taught Adam the names of all the articles (things), the importance of education for the mankind was very well proved. The last and the final Prophet Muhammad (PBUH) was sent by Almighty Allah for the completion of edÉucation as a code forever in the shape of Qur’an and Sunnah but with the passage of time, education has expanded and modern issues and sciences have become the integral parts of today’s educational system. There are many aspects of education especially in the present time, the Western World have explored new angles of discoveries, inventions, and creations through education. How Islam looks into these new issues and matters of education, has been discussed in this article.

Subdivision Schemes and Their Applications to Solve Differential Equations

Subdivision schemes are important for the generation of smooth curves and surfaces through an iterative process from a finite set of points. The subdivision schemes have been considered well-regarded in many fields of computational sciences. In this dissertation, we have used subdivision schemes for the numerical solution of different types of boundary value problems. In literature three methods such as spline based methods, finite difference methods and finite element methods are commonly used to find the numerical solution of boundary value problems. Subdivision based algorithms for the numerical solution of second order boundary value problems have also been used in the literature. In this dissertation, we develop subdivision based collocation algorithms for the numerical solution of linear and non linear boundary value problems of order three and four. Subdivision based collocation algorithms for the solution of second and third order singularly perturbed boundary value problems are also presented in this dissertation. These algorithms are developed by using basis functions of subdivision schemes. Convergence analysis of these collocation algorithms are also discussed. Accuracy and efficiency of the developed algorithms are shown through comparison with the existing numerical algorithms.
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