Thursday 2 May 2013

Penyelesaian Masalah Nilai Awal


Abstract

          The application of differential equation in engineering and science is very important. Realizing this fact, this thesis will be concerned on the solution of the simple differential with initial value i.e, Numerical Initial Value.There are a lot of methods that have been used in solving Numerical Initial Value problems.The method that going to be discussed are Euler method, Modified Euler method,Taylor method, Runge-Kutta method, Runge-Kutta higher method,Adams-Moulton method,Adam-Bashforth method, Adams predictor-corrector method and Milne-Simpson predictor-corrector method. The best method will be investigated to solve this problem.The first part of this thesis is the introduction to derivative and differential equations. Next, is the explanation of the methods, that has been used to solve Numerical Initial Value problerns. From these methods, the best method will be studied to solve Numerical Initial Value.In order to develop the system for solving Numerical Initial Value problems in Ordinary Differential Equations,the Microsoft Visual Basic 6.0 and, Adobe Photoshop 7.0 software will be used.

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