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Cubic iterated methods of numerical diferential method for solving non-linear physical functions

Author(s)
Umair Khalid Qureshi Department of Business Administration, Shaheed Benazir Bhutto University, Sanghar Campus, Sindh, Pakistan
Muzafar B. Aarain Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah, Pakistan
Rahim Bux Khokhar Department of Basic Science and Related Studies, Mehran University Engineering and Technology, Jamshoro, Sindh, Pakistan
Manzar Bashir Department of Information Technology, Shaheed Benazir Bhutto University, Sanghar Campus, Sindh, Pakistan
Abstract
In this research, two iterated methods have been developed for solving non-linear equations, which arise in applied sciences and engineering. The proposed iterated methods are converged cubically, and it is derived from the modified Euler method and improved Euler method with the Stefensen method. The cubic iterated methods of the numerical diferential method work on physical application functions and are compared with the variant newton iterated method. The numerical outcome of the proposed cubic iterated methods of numerical differential method is examined with C++/MATLAB. From the numerical results, it can be observed that the cubic iterated methods of the numerical diferential method are good for accuracy point of view, iteration perception, and function evaluation as the assessment of variant newton iterated method for solving nonlinear physical functions.
Publication Details
Page(s) 96-106
DOI DOI not available
Published Journal: VFAST Transactions on Mathematics, Volume: 11, Issue: 1, Year: 2023

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Keywords
Convergence, 2023, Subject Classification, Journal Info, Numerical diferential method, cubic method, application functions, 2023 Accepted, March 25, Submitted, April 13, 2023 Published, January 26, Numerical Methods and their Applications
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