International Journals of Multidisciplinary Research
Academy (IJMRA)

Abstract:
System of linear equations are solved either by direct methods which yield exact solution or by iterative methods which gives an approximation solution. In computational mathematics, iterative proccess plays a vital role that uses an initial guess to determine the approximation solution of any given problem. [7, 9, 10]There are several methods to solve system of linear and nonlinear equations, such as iterative methods, approximation methods, elimination methods and interpolation methods[13, 16, 17]. In this paper we use Conjugate Gradient Method to solve system of linear equations, as this is one of the most popular and well known iterative techniques for solving sparse symmetric positive definite systems of linear equations[24]. In particular, we discuss about pure conjugate gradient method and preconditioned conjugate gradient method. Numerical examples are shown for each method and comparison of these method is done based on the number of iterations and faster convergence. Thus we observe that the preconditioned conjugate gradient method is more preferred when the system is large because it gives less number of iterations and converge faster.
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Abstract:
The stress resistant properties of soils can be improved in a variety of ways. For example, sheets, strips or rods of metal or polymeric materials can be placed in the soil to create a composite material.Researchers believe that there is a great potential ofcombined usage of monofibres and hybrid fibers as a stabilization materials in sulphate infected black cotton soil mix, making it stronger and durable. But not much progress has been made in this regard.The main objective of this research work is to investigate the index properties and stress resistant properties by adding stabilization materials like, metakaolin along with monofibres and hybrid fibres. The research is proposed to address the following problems. 1.Effect of replacement of sulphate infected BC soil by stabilization material such as Metakaoline (MK) in different percentages like 0%, 5%, 10%, 15%, 20%, 25%, 30%, 35% and 40% and thereby determining the optimum dosage of stabilization materials. 2.Effect of addition of different monofibres such as Jute fibre (JF), Poly propylene fibre (PPF), Waste plastic fibre (WPF) and High density polyethelenefibre (HDPEF) on the properties of sulphate infected BC soils. 3.Effect of addition of different hybrid fibres such as (JF+WPF), (PPF+WPF) and (PPF+HDPEF) on the properties of sulphate infected BC soils.It is observed that the sulphate infected black cotton soil using metakaoline as stabilization material has shown improved index properties at 20% replacement level. Unsoaked CBR value, soaked CBR value, cohesion value from direct shear test and UCC test cohesion value, all show an increasing trend upto 20% replacement of black cotton soil by metakaoline. After 20% replacement level, all the above values go on decreasing. It is observed that the sulphate infected black cotton soil using metakaoline as stabilization material along with monofibres has shown improved stress resistance properties when monofibres are added at 1.5% by volume fraction. From the results obtained, it may also be concluded that, the performance of HDPE fibres is better than polypropylene fibres, waste plastic fibres and jute fibres in enhancing the stress resistance properties of sulphate infected black cotton soil using metakaoline as stabilization material.
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Abstract:
The Internet of things is a rising vogue explaining an interrelated network that is based on artificial intelligence and uses internet, computers and communication technology for its activity. Extension of the Internet of things is the Social Internet of Things (SIoT) that offers a framework for the public to easily communicate, post messages, photos, share videos, and connect with people in a comfortable manner. It is most competent, impressive and affordable for people to handle their interactions through SIoT. The study comprehensively analyzes how users can transport their knowledge information through various means of SIoT by different strategies which determine user behaviour and how it assists in enhancement of Digital Remarketing.
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Abstract:
There are right now a lot of students have learning weights and tangles in numerical learning both reliable and basic issues. Considering these issues the teacher has the test to manage the instance of learning inconveniences, why these cases happen and find a response how to help students with making driving forward through progress in science learning. The trait of this article is to get up the importance freed from mathematical power for extra empower student achievement in science progressing preferably.
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Abstract:

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