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New technique for the approximation of the zeros of nonlinear scientific models
- Source :
- International Journal of Nonlinear Sciences and Numerical Simulation. 22:705-719
- Publication Year :
- 2020
- Publisher :
- Walter de Gruyter GmbH, 2020.
-
Abstract
- Most of the problems in mathematical and engineering sciences can be studied in the context of nonlinear equations. In this paper, we develop a new family of iterative methods for the approximation of the zeros of mathematical models whose governing equations are nonlinear in nature. The proposed methods are based on decomposition technique due to Daftardar-Gejji and Jaffri [1]. The new family gives several iterative schemes as special cases. The convergence analysis of proposed methods is also presented. In order to determine the performance of newly developed methods, numerical as well as graphical analysis of four complex mathematical models from diverse fields of science and engineering are considered. We also consider some complex polynomials to visualize the roots through polynomiography in the context of proposed methods.
- Subjects :
- Iterative method
Applied Mathematics
Computational Mechanics
General Physics and Astronomy
Statistical and Nonlinear Physics
Polynomiography
Fluid mechanics
010103 numerical & computational mathematics
Scientific modelling
01 natural sciences
010101 applied mathematics
Nonlinear system
Rate of convergence
Mechanics of Materials
Modeling and Simulation
Applied mathematics
0101 mathematics
Engineering (miscellaneous)
Subjects
Details
- ISSN :
- 21910294 and 15651339
- Volume :
- 22
- Database :
- OpenAIRE
- Journal :
- International Journal of Nonlinear Sciences and Numerical Simulation
- Accession number :
- edsair.doi...........1f716f16e6e90dcced0ab11bd444e3d8