A new approach for solving nonlinear system of equations using Newton method and HAM
سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 394
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شناسه ملی سند علمی:
JR_IJNAO-4-2_005
تاریخ نمایه سازی: 6 شهریور 1396
چکیده مقاله:
A new approach utilizing Newton Method and Homotopy Analysis Method (HAM) is proposed for solving nonlinear system of equations. Accelerating the rate of convergence of HAM, and obtaining a global quadratic rate of convergence are the main purposes of this approach. The numerical results demonstrate the efficiency and the performance of proposed approach. The comparison with conventional homotopy method, Newton Method and HAM shows the great freedom of selecting the initial guess, in this approach.
کلیدواژه ها:
Homotopy Analysis Method ، Zero order deformation equations ، Control convergence parameter ، Newton s method ، Iterative method ، Multistep iterative method ، Order of convergence
نویسندگان
j Izadian
Department of Mathematics, Faculty of Sciences, Mashhad Branch, Islamic Azad Univer-sity, Mashhad, Iran.
r Abrishami
Department of Mathematics, Faculty of Sciences, Mashhad Branch, Islamic Azad Univer-sity, Mashhad, Iran
m jalili
Department of Mathematics, Neyshabur Branch, Islamic Azad University, Neyshabur,Iran.