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Numerical Methods for Solving Systems of Nonlinear …

Numerical Methods for Solving Systems ofNonlinear EquationsbyCourtney RemaniA project submitted to the Department ofMathematical Sciences in conformity with the requirementsfor Math 4301 (Honour s Seminar)Lakehead UniversityThunder Bay, Ontario, Canadacopyrightc (2012-2013) Courtney RemaniAbstractThis Honours Seminar Project will focus on the Numerical Methods involved in solv-ing Systems of Nonlinear equations . First, we will study Newton s method for solvingmultivariable Nonlinear equations , which involves using the Jacobian matrix. second , wewill examine a Quasi-Newton which is called Broyden s method; this method has beendescribed as a generalization of the Secant Method. And third, to s solve for nonlin-ear boundary value problems for ordinary differential equations , we will study the FiniteDifference method. We will also give an application of Newton s method and the FiniteDifference method. Using the computer program Matlab, we will solve a boundary valueproblem of a Nonlinear ordinary differential would like to acknowledge and thank everyone who has been involved with thisproject.

Second, we will examine a Quasi-Newton which is called Broyden’s method; this method has been described as a generalization of the Secant Method. And third, to s solve for nonlin-ear boundary value problems for ordinary di erential equations, we will …

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  System, Second, Solving, Equations, Nonlinear, Erential, Di erential equations, Solving systems of nonlinear

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