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22. Al-Hajj/The Annual Pilgrimage to Makkah

22. Al-Hajj/The Annual Pilgrimage to Makkah

I/We begin by the Blessed Name of Allah

The Immensely Merciful to all, The Infinitely Compassionate to everyone.

22:01
O The People of the World!
Be conscious of your Rabb - The Lord - in reverence, awe, and piety.
Indeed, the earthquake of the Last Hour is going to be a dreadful thing!

22:02
The Time when you all will see it, every nursing mother will be distracted in dread from whom she is nursing, and
every pregnant female will abort her burden of pregnancy prematurely, and
you will see the people as if they were drunk - gone out of their senses because of ensuing fear, while, in fact, they will not be drunk.
They will have been overwhelmed by the dread of Allah’s intense punishment.

22:03
Even still, some from the people dispute Allah, without any knowledge of HIM,
and follow every defiant Satan - satanic impulse with deviant thoughts.

22:04
It is already been decreed that -
Whoever takes him as an ally, i.e., follows any such Satanic impulse,
he will surely mislead him, and guide him to the punishment of the Blazing Fire.

22:05
O The People of the World!
If you are in any doubt about truth of the Resurrection, then consider the fact that,
WE first created you out of dust/earth - as Adam - and
then as his progeny, out of a small drop of male’s and female’s secretion, then from a clinging thing, and then from a lump, formed and unformed, so that WE may make it clear to you.
WE plant in the womb what WE Please – male or female...

The Need of Efficient Water Management in Pakistan

Water is a sign of life, all living beings need it to remain alive. It is natural commodity and three fourth of this planet is water. Still not all is suitable for human consumption and sufficient to meet the ever increasing demands. Availability and supply of water is getting scarce with increasing population of states especially the developing societies. If we look at the history of life on this planet, we find that the humanity has suffered disasters on acquisition and possession of natural resources which are vital for survival of one group, may be at the cost of others. Water falls in that category where if not properly managed its scarcity and stress would lead to unending conflicts and wars till demands equals the supply with the destruction of extra consumptions. Solution to the disastrous situation is in efficient management of water. The efficient and effective management combines awareness and justified storage and distribution of water by the states within their domains. Modern technology and management provides solutions for this efficient management of water by the states. ______

Analysis and Application of Optimal Homotopy Asymptotic Method and the Use of Daftardar- Jaffery Polynomials

In this thesis, we use the standard optimal homotopy asymptotic method for the analytical solution of higher order ordinary differential equations with two or multi- point boundary conditions, a nonlinear family of partial differential equations with an initial condition and Integro-differential equations. The results obtained are compared with the results obtained by the application of Adomain decomposition method, homotopy perturbation method, variational iteration method, differential transform method and homotopy analysis method etc. The optimal homotopy asymptotic method uses a flexible auxiliary function, which controls the convergence of the solution and allows adjustment in the convergence region where it is needed. Moreover, the procedure of this method is simple, clearly well-defined and the built- in recursive relations are explicitly worked out for easy use. Numerical results obtained by the optimal homotopy asymptotic method reveal high accuracy and excellent agreement with the exact solutions. Apart from the application of optimal homotopy asymtotic method, we develop a new scheme by using Daftardar-Jafari polynomials in the homotopy of optimal homotopy asymptotic method to solve nonlinear problems more effectively. This scheme is almost as simple as the optimal homotopy asymtotic method but its results are more accurate than the usual optimal homotopy asymptotic method. To show the effectiveness of this scheme, we solve different bench mark problems from literature and compare the results with those obtained by the standard optimal homotopy asymptotic method. To determine the convergence control parameters of the auxiliary function, two well known methods are followed: The Least squares and the Galerkin methods. We also explore and use a variety of the forms of auxiliary functions that results more accuracy and shows flexibility and reliability of the methods. For symbolic computation, we use Mathematica 7. The work presented in chapters 2, 3 and 4 of this thesis has been published in different reputed international journals and the work presented in chapters 3, 5, 6 and 7 is submitted for possible publication. The details of published/submitted work are included in the list of publications.
Asian Research Index Whatsapp Chanel
Asian Research Index Whatsapp Chanel

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