
1. THE RELEVANCE OF THE USE OF THE METHOD OF UNDETERMINED COEFFICIENT FOR SOLVING DIFFERENTIAL EQUATIONS
» 1.0 CHAPTER ONE 1.1 BACKGROUND OF STUDY The method of undetermined coefficient has been used as a tool for solving a particular non homogeneous differential equation. One of the main advantages of this method is that it reduces the problem down to an algebra problem. The algebra can get messy on occasion, but for most of the problems it will not be terribly difficult. Another nice thing about this...Continue Reading »
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2. THE COMPARISON OF GAUSSIAN ELIMINATION AND CHOLESKY DECOMPOSITION METHODS TO LINEAR SYSTEM OF EQUATIONS.
» CHAPTER ONE LINEAR SYSTEM OF EQUATIONS INTRODUCTION A wide variety of problems lead ultimately to the need to solve a linear system of equation linear system of equations are associated with many problems in engineering and science as well as with applications of mathematics to the social sciences and the quantitative study of business and economic problems. In 1985, according to Atkinson, system ...Continue Reading »
82 pages  321 views  Source: MATHEMATICS

3. MATRIX AND ITS APPLICATIONS
» CHAPTER ONE INTRODUCTION AND LITERATURE REVIEW 1.1 BACKGROUND OF THE STUDY The introduction and development of the notion of a matrix and the subject of linear algebra followed the development of determinants, which arose from the study of coefficients of systems of linear equations. Leibnitz, one of the founder of calculus, used determinant in 1963 and Cramer presented his determinant based formu...Continue Reading »
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4. A STUDY OF PLANER CIRCULAR RESTRICTED THREE BODY PROBLEM
» CHAPTER ONE 1.0 INTRODUCTION Since the 17th century, the N body problem has held the attention of generationsof astronomers and mathematicians. The problem is simple: given a collection of N celestial bodies (be they planets, asteroids, stars, black holes) interacting with each other through gravitational forces, what will their trajectories be? For N = 2, the problem has been solved for centuries...Continue Reading »
65 pages  234 views  Source: MATHEMATICS