پروفیسر سید نواب علی
ہماری پرانی علمی شخصیتیں ایک ایک کرکے اٹھتی جاتی ہیں، اور ان کا بدل نظر نہیں آتا، جون کی آخری تاریخوں میں مشہور اہل قلم اور نامور فاضل پروفیسر سید نواب علی صاحب ایم اے نے انتقال کیا، ان کا اصل وطن نیوتنی ضلع اوناؤ تھا، لیکن ملازمت کے سلسلے میں ان کا قیام زیادہ تر گجرات میں رہا، وہاں وہ مختلف بڑے بڑے تعلیمی عہدوں پر ممتاز رہے، سرکاری ملازمت سے ریٹائر ہونے کے بعد ریاست جوناگڑھ کے وزیر تعلیم ہوگئے تھے، اس سے سبکدوش ہونے کے بعد وطن لوٹ آئے تھے، پھر قیام پاکستان کے بعد کراچی چلے گئے اور وہیں گذشتہ ۳۰؍ جون کو وفات پائی۔
مرحوم، حضرت سید صاحب رحمۃ اﷲ علیہ کے ہمعصر تھے، ان کی طالب علمی کا زمانہ لکھنؤ میں گزرا تھا، اس زمانہ میں وہ مولانا شبلی کی صحبت سے مستفید ہوئے، اس لیے دارالمصنفین اور اس کے کارکنوں سے ان کے تعلقات بہت قدیم تھے، اور وہ اس کے ابتدائی ارکان میں تھے، جدید علوم کے ساتھ عربی سے بھی واقف تھے اور اسلامی علوم پر بھی ان کی نظر تھی، ان کا علمی ذوق بہت بلند تھا۔ وہ متعدد بلند پایہ کتابوں کے مصنف تھے، اور اپنی تصانیف کے ذریعہ انھوں نے دین کی بڑی خدمت انجام دی، ان کی تصانیف کی تعداد ایک درجن کے قریب ہوگی ان میں ’’سیرۃ الرسول‘‘ اور ’’تاریخ صحف سماوی‘‘ اور ’’معارج الدین‘‘ زیادہ اہم ہیں، اب ایسے محقق فاضل مسلمانوں میں مشکل سے پیدا ہوں گے۔ (شاہ معین الدین ندوی،اگست ۱۹۶۱ء)
Islam orders to obey the ruler and not to indulge in activities that may cause disruption & instability of an Islamic state. This research discusses rules & regulations based on sīrah about rebellion (khurūj), and relevant topics from Islamic Jurisprudence. The basic question of this research is whether revolt against the ruler is permissible and what would be the punishment? This research elaborates four types of rebellion. Rulings of Muslim scholars regarding rebellion are subjected to the different positions of rulers. According to all school of thoughts the khurūj is not permitted if the ruler is lawful and serving his community with justice. In contrary, there is difference of opinions about the tyrannous and iniquitous ruler. This article concluded that majority of Muslim Scholars do not permit khurūj in any case, some others laid down very strict conditions in this regard.
Nonlinear partial differential equations are often used to understand and model nonlinear processes arising in many branches of science and engineering. For most of partial differential equations a general closed-form analytical solution is not available and therefore use of numerical methods always remains an important alternative for the solution of partial differential equations. Several numerical methods are developed for the solution of partial differential equations including finite difference methods, finite element methods, spectral methods and spline methods. However numerical methods posses some limitations such as mesh generation, slow rate of convergence, spatial dependence, stability, low accuracy and difficult to implement in complex geometries. One of domain type methods is known as radial basis functions method, which is a truly meshless method, infinitely differentiable, numerically accurate, stable, very high rate of convergence, spatial independence and flexible with respect to complex geometry. The main difference between the mesh free radial basis functions method and classical mesh-based methods is that the radial basis functions can be extended to the entire domain of influence without diving into elements. In this thesis, we present mesh free radial basis functions method based on collocation principle for numerical solution of various time dependent nonlinear partial differential equations namely, Regularized Long Wave (RLW) equation, Modified Regularized Long Wave (MRLW) equation, Modified Equal Width Wave (MEW) equation, Klein- Gordon Schrödinger (KGS) equations, Klein-Gordon Zakharov (KGZ) equations, Two dimensional Coupled Burgers’ equations and Two dimensional Reaction-Diffusion Brusselator equations. Different radial basis functions are used for this purpose. First order forward and second order central difference approximation is employed to the time derivative. The elementary stability and convergence of the proposed method are discussed. Accuracy of the method is assessed in terms of various error norms, number of nodal points and time step size. Performance of the proposed method is validated through examples from literature. Apart from ease of implementation, better accuracy is obtained. Comparison with existing methods such as finite difference methods, finite element methods, boundary element methods and spline methods is made to show the superiority and simple applicability of the mesh free method.