Comparison between Newton’s Method and a new Scaling Newton Method / Ramizah Baharuddin
Newton's Method also called the Newton-Raphson method is a recursive algorithm for approximating the root of a differentiable function. Being one of the most widely used method of root finding, the procedure attempt to find a solution of the equation f (x) = 0 where f (x) is a function of one v...
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my-uitm-ir.780152023-05-22T04:58:58Z Comparison between Newton’s Method and a new Scaling Newton Method / Ramizah Baharuddin 2021 Baharuddin, Ramizah Equations Mathematical statistics. Probabilities Analysis Analytical methods used in the solution of physical problems Instruments and machines Electronic Computers. Computer Science Algorithms Newton's Method also called the Newton-Raphson method is a recursive algorithm for approximating the root of a differentiable function. Being one of the most widely used method of root finding, the procedure attempt to find a solution of the equation f (x) = 0 where f (x) is a function of one variable, continuous and differentiable. In Newton’s method, approximation is done by using tangential lines. The solution process begins with choosing a value as the first estimate of the solution (normally obtained from graphing). This initial value is often called the “initial guess”. The second estimate is obtained by using the tangent line of f (x) at the initial value. The third estimate is obtained by using the tangent line of f (x) at the second estimate. The process goes on and on until desired accuracy is achieved. However, in some case it will become failure. When the approximations produced by Newton’s method approach the desired zero, we say that the method converges to that zero. Depending on the initial approximation and the function, Newton’s method may not converge to the desired zero. When using Newton’s method, consideration must be given to the proper choice of starting point or initial value. Usually, one must have some insights as to the shape of the function. Many times, a rough graph is adequate, but in other cases step-by-step evaluation of the function at various points may be necessary to locate the root. The objective of this research is to compare two numerical method by using Newton method and New Scaling Newton method. The data taken from CLIMATE-DATA.ORG and from the data, we found initial value for our method. The higher accuracy of the result will be defined by calculating the numerical method and compared with the original data. Therefore, in this study, perhaps the researchers will compare the best method between Newton Method and New Scaling Newton Method. 2021 Thesis https://ir.uitm.edu.my/id/eprint/78015/ https://ir.uitm.edu.my/id/eprint/78015/2/78015.pdf text en public degree Universiti Teknologi MARA, Terengganu Faculty of Computer and Mathematical Sciences Jaafar, Ruhana |
| institution |
Universiti Teknologi MARA |
| collection |
UiTM Institutional Repository |
| language |
English |
| advisor |
Jaafar, Ruhana |
| topic |
Equations Equations Analysis Analytical methods used in the solution of physical problems Instruments and machines Equations Algorithms |
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Equations Equations Analysis Analytical methods used in the solution of physical problems Instruments and machines Equations Algorithms Baharuddin, Ramizah Comparison between Newton’s Method and a new Scaling Newton Method / Ramizah Baharuddin |
| description |
Newton's Method also called the Newton-Raphson method is a recursive algorithm for approximating the root of a differentiable function. Being one of the most widely used method of root finding, the procedure attempt to find a solution of the equation f (x) = 0 where f (x) is a function of one variable, continuous and differentiable. In Newton’s method, approximation is done by using tangential lines. The solution process begins with choosing a value as the first estimate of the solution (normally obtained from graphing). This initial value is often called the “initial guess”. The second estimate is obtained by using the tangent line of f (x) at the initial value. The third estimate is obtained by using the tangent line of f (x) at the second estimate. The process goes on and on until desired accuracy is achieved. However, in some case it will become failure. When the approximations produced by Newton’s method approach the desired zero, we say that the method converges to that zero. Depending on the initial approximation and the function, Newton’s method may not converge to the desired zero. When using Newton’s method, consideration must be given to the proper choice of starting point or initial value. Usually, one must have some insights as to the shape of the function. Many times, a rough graph is adequate, but in other cases step-by-step evaluation of the function at various points may be necessary to locate the root. The objective of this research is to compare two numerical method by using Newton method and New Scaling Newton method. The data taken from CLIMATE-DATA.ORG and from the data, we found initial value for our method. The higher accuracy of the result will be defined by calculating the numerical method and compared with the original data. Therefore, in this study, perhaps the researchers will compare the best method between Newton Method and New Scaling Newton Method. |
| format |
Thesis |
| qualification_level |
Bachelor degree |
| author |
Baharuddin, Ramizah |
| author_facet |
Baharuddin, Ramizah |
| author_sort |
Baharuddin, Ramizah |
| title |
Comparison between Newton’s Method and a new Scaling Newton Method / Ramizah Baharuddin |
| title_short |
Comparison between Newton’s Method and a new Scaling Newton Method / Ramizah Baharuddin |
| title_full |
Comparison between Newton’s Method and a new Scaling Newton Method / Ramizah Baharuddin |
| title_fullStr |
Comparison between Newton’s Method and a new Scaling Newton Method / Ramizah Baharuddin |
| title_full_unstemmed |
Comparison between Newton’s Method and a new Scaling Newton Method / Ramizah Baharuddin |
| title_sort |
comparison between newton’s method and a new scaling newton method / ramizah baharuddin |
| granting_institution |
Universiti Teknologi MARA, Terengganu |
| granting_department |
Faculty of Computer and Mathematical Sciences |
| publishDate |
2021 |
| url |
https://ir.uitm.edu.my/id/eprint/78015/2/78015.pdf |
| _version_ |
1783736196066705408 |