نوجوان کی تربیت اور منہج نبوی

Undoubtedly, Youth play cardinal role in the development and reformation of any society. Their activities produce an immense influence in the social development and progress. This article aimed at highlighting the important role of youth in social reforms by keeping in view the Islamic personalities like great companions of Holy Prophet (r). Descriptive and qualitative research approach was employed for the collection and analysis of data. The systematic review of scholarly literature on Islamic history revealed that the Prophet Muhammad (r) gave particular emphasize to nourish young generation in order to mold their lives into an ideal and balanced personality. He by developing intellectual, spiritual, and emotional skills produced such great men who led the mankind and became heroes of history. At the same time they appeared as ideal traders, peaceful citizens, just rulers, true followers of Holy Prophet (r) and loyal worshiper of Allah Almighty. The research by observing present condition of youth found that unfortunately our youth was found in illicit, unethical, useless, and peace demoting activities which promoted social evils and criminal activities. They got involved in unlawful activities including terrorism, killing, robbery, and kidnapping etc. By keeping view the above findings the research strongly recommends to nurture our youth on the footsteps of companions of Holy Prophet (r) in order to bring peace and prosperity in the country. Moreover they should be given awareness about the lives of heroes of Islam who appeared with great titles on the horizon.

Some Analytic Methods for Solving Higher Order Nonlinear Boundary and Initial Value Problems

Nonlinear phenomenon plays vital role in engineering and applied sciences. Higher order nonlinear boundary value and initial value problems are known to describe a large variety of phenomena. We are mainly concerned with finding the analytic solution of boundary value and initial value problems of the type T ( u ) = 0, subject to some boundary and initial conditions, where T is any differential or integral operator. We study and develop some analytic methods for solving higher order nonlinear boundary value and initial value problems. We propose several modifications in variation of parameters method for finding the approximate solution of several higher order nonlinear boundary value, initial value, parametric boundary value, higher dimensional and system of nonlinear Volterra integro differential problems. We apply the exp-function method to construct generalized soliton, travelling wave and periodic solution of several higher order nonlinear partial differential equations. We apply the exp-function method for finding the exact solution of some higher order nonlinear boundary value problems. All the suggested techniques are compared with well known classical techniques and are found quite efficient, well suited and reliable for the solution of higher order nonlinear boundary and initial value problems of diversified nature.