A new variant of trapezoidal technique for simulation of nonlinear equations
Inderjeetyadavinderjeet386@gmail.comUniversity School of Basic and Applied SciencesGuru Gobind Singh Indraprastha UniversityDwarka, Delhi, 110078, India0009-0007-7221-6301View full profile → , *Rashmi BhardwajCorresponding authorrashmib@ipu.ac.inUniversity School of Basic and Applied SciencesGuru Gobind Singh Indraprastha UniversityDwarka, Delhi, 110078, India0000-0002-0502-762XView full profile →
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- Received:
- 01 Jul 2025
- Published Online:
- 02 Jun 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIOS-2152
- Pages:
- 2601–2606
Abstract
Nonlinear equations arise in many fields of science and engineering. Solving these equations numerically is often challenging due to their complex nature. Finding roots of nonlinear equations is challenging in numerical analysis. Analytical solutions to nonlinear equations are often intractable necessitating the use of numerical methods. In this paper, we proposed a newly iterative technique for simulation of nonlinear equations based on trapezoidal rule of integration. Theoretical analysis and numerical experiments demonstrate and effectiveness of newly proposed iterative technique for solving a wide range of nonlinear problems. When working with certain higher order functions, the suggested approach greatly improves the trapezoidal rule and gets outcomes the error value problem, even when solving for a single interval. This provides grounds for confidence in the proposed method and provides the prospect for further refinement in future work.
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References
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