This Project focuses on obtaining an approximation solution for solving a system of two dimension... more This Project focuses on obtaining an approximation solution for solving a system of two dimensional linear Fredholm integral equations of the 2nd kind. Various numerical procedures are reformulated and applied for solving the above system with their newly written computer programs.such as;Numerical integrations methods for multiple integral (composite Simpson’s method & composite trapezoid method); four different types of weighted residual methods (collocation method, sub-domain method,least square method and Galerkin method) and two different types of Iterative methods (successive approximation method and Adomian decomposition method).
Effects of dust grain charge fluctuation, obliqueness and external magnetic field on a finite-amp... more Effects of dust grain charge fluctuation, obliqueness and external magnetic field on a finite-amplitude dust acoustic solitary potential in a magnetized dusty plasma, consisting of electrons, ions and charge-fluctuating dust grains, are investigated using the reductive perturbation method. It is shown that such a magnetized dusty plasma system may support a dust acoustic solitary potential on a very slow time scale involving the motion of dust grains, whose charge is self- consistently determined by local electron and ion currents. The effects of dust grain charge fluctuation, external magnetic field and obliqueness are found to modify the properties of this dust acoustic solitary potential significantly. The implications of these results for some space and astrophysical dusty plasma systems, especially planetary ring systems and cometary tails, are briefly mentioned.
Image segmentation plays vital role in computer vision, pattern recognition, disease diagnosing i... more Image segmentation plays vital role in computer vision, pattern recognition, disease diagnosing in medical images and many other fields. Medical image segmentation is one of the most attractive areas of research, because successfulness of the post-processing techniques highly depends on the accuracy of image segmentation. Further, during acquisition medical images may have been corrupted from various types of degradations and
This Project focuses on obtaining an approximation solution for solving a system of two dimension... more This Project focuses on obtaining an approximation solution for solving a system of two dimensional linear Fredholm integral equations of the 2nd kind. Various numerical procedures are reformulated and applied for solving the above system with their newly written computer programs.such as;Numerical integrations methods for multiple integral (composite Simpson’s method & composite trapezoid method); four different types of weighted residual methods (collocation method, sub-domain method,least square method and Galerkin method) and two different types of Iterative methods (successive approximation method and Adomian decomposition method).
Effects of dust grain charge fluctuation, obliqueness and external magnetic field on a finite-amp... more Effects of dust grain charge fluctuation, obliqueness and external magnetic field on a finite-amplitude dust acoustic solitary potential in a magnetized dusty plasma, consisting of electrons, ions and charge-fluctuating dust grains, are investigated using the reductive perturbation method. It is shown that such a magnetized dusty plasma system may support a dust acoustic solitary potential on a very slow time scale involving the motion of dust grains, whose charge is self- consistently determined by local electron and ion currents. The effects of dust grain charge fluctuation, external magnetic field and obliqueness are found to modify the properties of this dust acoustic solitary potential significantly. The implications of these results for some space and astrophysical dusty plasma systems, especially planetary ring systems and cometary tails, are briefly mentioned.
Image segmentation plays vital role in computer vision, pattern recognition, disease diagnosing i... more Image segmentation plays vital role in computer vision, pattern recognition, disease diagnosing in medical images and many other fields. Medical image segmentation is one of the most attractive areas of research, because successfulness of the post-processing techniques highly depends on the accuracy of image segmentation. Further, during acquisition medical images may have been corrupted from various types of degradations and
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Papers by Mehdi Hassan