شری مشرو والا
افسوس ہے کہ گزشتہ مہینہ گاندھی جی کے مشہور چیلے شری مشرو والا نے انتقال کیا، وہ ہریجن کے اڈیٹر اور گاندھی جی کے مشن کے سچے حامل و مبلغ تھے اور اس زمانہ میں جب کہ کانگریس اپنے اصولوں سے عملاً بالکل ہٹ گئی ہے اور کانگریسیوں کی اکثریت اقتدار کی ہوس، ذاتی اغراض اور فرقہ پرستی میں مبتلا ہے اور فرقہ پرستوں اور خود غرضوں کی قوت اتنی بڑھ گئی ہے کہ سچے کانگریسی بھی مشکل سے ان کے مقابلہ میں زبان کھولنے کی جرأت کرسکتے ہیں، مشرووالاجی اپنے اصولوں پر قائم تھے اور آخر دم تک نہایت دلیری کے ساتھ گانگریس کی غلط روی پر تنقید اور گاندھی جی کے اصولوں کی تبلیغ و اشاعت کا فرض انجام دیتے رہے انھوں نے ان کی تعلیمات پر متعدد کتابیں لکھی ہیں، اس خود غرضی اور فرقہ پرستی کے دور میں ایسے مخلص اور سچے کانگریسی کا اٹھ جانا ایک ناقابل تلافی نقصان ہے، ان کی موت سے متحدہ قومیت کا ایک بڑا ستون گرگیا، جس کی جگہ مدتوں نہ بھر سکے گی۔ (شاہ معین الدین ندوی، اکتوبر ۱۹۵۲ء)
Allah Almighty has kept many sources to save his eternal message, of writings the in biography holy his and صلى الله عليه وسلم prophet his of words golden the different scholars. This shows the importance of our sacred heritage that includes the biography of the Holy Prophet ﷺ. These hand-written books (manuscripts) consist of the exegesis of Qur’ān, Jurisprudence, Principles of Exegesis of Qur’ān and Jurisprudence, morphology, syntactic and many other sciences related to Arabic language and literature. The researcher has صلى الله عليه وسلم Prophet Holy the of biography the about manuscripts the evaluated written in different universities of Pakistan during MA, MPhil, and PhD in the 20th century. The research methodology followed in the research is descriptive. Each understudy manuscript is considered from different aspects that include different features of the work done, i. E. Language of the manuscripts, details of the original text, references of Aḥādīth, pattern of footnotes, primary and secondary sources etc. The article is divided into three main sections in the following way: First deals with Islamic Arabic Manuscripts, Second are Manuscripts in Pakistani Libraries and third are would research The. صلى الله عليه وسلم Prophet the of Sirah about Manuscripts evaluated highlight value of the Manuscripts and the critical analysis of the mistakes found in Manuscripts and it would certainly improve their language, and research pattern.
In this thesis a series solution to linear or nonlinear problems has been considered which are arising in the field of applied mathematics. In the first chapter of this dissertation a brief history of our problems and methods is given. In the second chapter, some basic definitions and concepts are given which have been used in our work. In the third chapter, we examined the motion of an incompressible unidirectional magneto-hydrodynamics (MHD) thin film flow of a third grade fluid over an oscillating inclined belt embedded in a porous medium. Moreover, heat transfer analysis has also been discussed in the present work. We modeled the proposed physical problem in terms of PDEs. The equations obtained through PDEs were then solved by two different methods i.e., Homotopy Perturbation Method (HPM) and Optimal Homotopy Asymptotic Method (OHAM). Comparisons of these two methods for different time level were analyzed graphically. Comparison of the results shows that both the methods are in full agreement. The effects of various non-dimensional parameters have also been linerated graphically. In the fourth chapter of this thesis the unsteady thin film flow of a fourth grade fluid over a moving and oscillating vertical belt is given. The proposed problem was modeled in terms of PDEs together with physical boundary conditions. Two different cases were discussed. The first one is the lift case, while the second one is the drainage case. Two different techniques, namely the Adomian Decomposition Method (ADM) and the Optimal Homotopy Asymptotic Method (OHAM) were used for finding the analytical solutions of the above mentioned cases. These solutions were compared and found in excellent agreement. For the physical analysis of the problem, graphical results were provided and discussed for various embedded flow parameters. In the fifth chapter, the Optimal Homotopy Asymtotic Method (OHAM) [45-46] was used for approximate solution of singularly perturbed two-point boundary value problems. We concluded that the proposed method gives efficient results. We solved some numerical examples, that include initial and boundary value problems. In the sixth chapter, the solution of higher order boundary value problems by our proposed method “Modified Optimal Homotopy Perturbation Method” (MOHPM) has been given. A homotopy with an embedding parameter and Daftardar-Jafari polynomials were used. To control the convergence of solution, some auxiliary functions which depended upon variables and some constants were used. The proposed method was simple, rapid, effective and accurate. The accuracy has been proved by comparing our results with the solutions of optimal homotopy perturbation method (OHPM), optimal homotopy asymptotic method (OHAM), variational iterative method (VIM), variational iteration method using He’s polynomials (VIMHP), homotopy perturbation method (HPM) and Adomain decomposition method (ADM).