%0 Journal Article %1 moheuddinstudy %A Moheuddin, Mir Md. %A Uddin, Md. Jashim %A Kowsher, Md. %D 2019 %J Applied Mathematics and Sciences: An International Journal (MathSJ) %K Bisection False Newton-Raphson Nonlinear Position Rate Secant and convergence equations method of %N 2/3 %P 16 - 31 %T A NEW STUDY TO FIND OUT THE BEST COMPUTATIONAL METHOD FOR SOLVING THE NONLINEAR EQUATION %U https://airccse.com/mathsj/papers/6319mathsj02.pdf %V 6 %X The main purpose of this research is to find out the best method through iterative methods for solving the nonlinear equation. In this study, the four iterative methods are examined and emphasized to solve the nonlinear equations. From this method explained, the rate of convergence is demonstrated among the 1st degree based iterative methods. After that, the graphical development is established here with the help of the four iterative methods and these results are tested with various functions. An example of the algebraic equation is taken to exhibit the comparison of the approximate error among the methods. Moreover, two examples of the algebraic and transcendental equation are applied to verify the best method, as well as the level of errors, are shown graphically.

@article{moheuddinstudy, abstract = {The main purpose of this research is to find out the best method through iterative methods for solving the nonlinear equation. In this study, the four iterative methods are examined and emphasized to solve the nonlinear equations. From this method explained, the rate of convergence is demonstrated among the 1st degree based iterative methods. After that, the graphical development is established here with the help of the four iterative methods and these results are tested with various functions. An example of the algebraic equation is taken to exhibit the comparison of the approximate error among the methods. Moreover, two examples of the algebraic and transcendental equation are applied to verify the best method, as well as the level of errors, are shown graphically. }, added-at = {2021-01-16T10:27:52.000+0100}, author = {Moheuddin, Mir Md. and Uddin, Md. Jashim and Kowsher, Md.}, biburl = {https://www.bibsonomy.org/bibtex/2957c074aa35e9869b956969980f94b0a/journalmathsj}, interhash = {68574452ee94e9d0351a5e46e03d53a9}, intrahash = {957c074aa35e9869b956969980f94b0a}, journal = {Applied Mathematics and Sciences: An International Journal (MathSJ)}, keywords = {Bisection False Newton-Raphson Nonlinear Position Rate Secant and convergence equations method of}, month = {September}, number = {2/3}, pages = {16 - 31}, timestamp = {2021-01-16T10:27:52.000+0100}, title = {A NEW STUDY TO FIND OUT THE BEST COMPUTATIONAL METHOD FOR SOLVING THE NONLINEAR EQUATION }, url = {https://airccse.com/mathsj/papers/6319mathsj02.pdf}, volume = 6, year = 2019 }