Browsing by Author "M.A. Rehman"

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    Cracking of some compact objects with linear regime
    (Astrophys Space Sci, 2015) M. Azam; S.A. Mardan; M.A. Rehman
    Compact stars serve as a logical regimen for the implementation of theoretical models that are difficult to understand from an experimental setup. In our present work, we discuss the stability of self-gravitating compact objects by using the concept of cracking in the linear regime. We investigate the effect of density perturbation and local anisotropy on the stability regions of the following compact objects, neutron star PSR J1614-2230, the millisecond pulsar PSR J1903+327 and X-ray pulsars Vela X-1, SMC X-1, Cen X-3.We find that SMC X-1 is the stable compact object and all other exhibit cracking.
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    Hybrid numerical method for heat equation with nonlocal boundary conditions in parallel computing environment
    (Research Journal of Applied Sciences, Engineering and Technology, 2014) S.A. Mardan; M.A. Rehman
    A numerical method is developed for solving parabolic partial differential equations with integral boundary conditions. The method is moderately sixth-order accurate due to merging of sixth order finite difference scheme and fifth order Pade’s approximation. Simpson’s 1/3 rule is used to approximate integral conditions. The method does not involve the use of complex arithmetic and optimizes the results. It is observed that this numerical method can be easily coded on serial as well as parallel computers.