# Iterative Methods for Nonlinear Equations

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/iterative-methods-for-nonlinear-equations/

## Facts

| Field | Value |
| --- | --- |
| Description | This cluster of papers focuses on the convergence analysis and improvement of iterative methods, particularly Newton's method, for solving nonlinear equations. It explores higher-order methods, quadrature formulas, local convergence in Banach spaces, and derivative-free approaches to handle multiple roots. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | t12661 |
| Works | 12 |

## Topic papers all

- [Generalized Gaussian quadrature rules on arbitrary polygons](https://scholariq.org/papers/generalized-gaussian-quadrature-rules-on-arbitrary-polygons/)
- [Axial Couette flow of two kinds of fractional viscoelastic fluids in an annulus](https://scholariq.org/papers/axial-couette-flow-of-two-kinds-of-fractional-viscoelastic-fluids-in-an-annulus/)
- [Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences](https://scholariq.org/papers/fractional-calculus-and-its-applications-in-applied-mathematics-and-other/)
- [Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition](https://scholariq.org/papers/homotopy-perturbation-method-to-time-fractional-diffusion-equation-with-a-moving/)
- [The time fractional heat conduction equation in the general orthogonal curvilinear coordinate and the cylindrical coordinate systems](https://scholariq.org/papers/the-time-fractional-heat-conduction-equation-in-the-general-orthogonal/)
- [Some exact solutions to Stefan problems with fractional differential equations](https://scholariq.org/papers/some-exact-solutions-to-stefan-problems-with-fractional-differential-equations/)
- [Solving the fractional nonlinear Klein-Gordon equation by means of the homotopy analysis method](https://scholariq.org/papers/solving-the-fractional-nonlinear-klein-gordon-equation-by-means-of-the-homotopy/)
- [Fractional Calculus and Its Applications](https://scholariq.org/papers/fractional-calculus-and-its-applications/)
- [Some properties of the Mittag-Leffler functions and their relation with the Wright functions](https://scholariq.org/papers/some-properties-of-the-mittag-leffler-functions-and-their-relation-with-the/)
- [A New Approximate Analytical Solution of Kuramoto –Sivashinsky Equation Using Homotopy Analysis Method](https://scholariq.org/papers/a-new-approximate-analytical-solution-of-kuramoto-sivashinsky-equation-using/)
- [Approximate analytic solutions of the modified Kawahara equation with homotopy analysis method](https://scholariq.org/papers/approximate-analytic-solutions-of-the-modified-kawahara-equation-with-homotopy/)
- [Variational Iteration Method for Solving the Generalized Degasperis-Procesi Equation](https://scholariq.org/papers/variational-iteration-method-for-solving-the-generalized-degasperis-procesi/)

---
Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.