Computational Method to Find Solutions of Mathematical Problems with Error and Stability Analysis

This paper provides stability theorems and residual correction procedures for a realistic optimization problem using an accurate computational method. An example illustration has shown optimal performance with high-accuracy orders.

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Publication Details

Journal
PROOF
Published
2025-04-11
DOI
https://doi.org/10.37394/232020.2025.5.3
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
Field-Weighted Citation Impact
0.00
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article

Computational Method to Find Solutions of Mathematical Problems with Error and Stability Analysis

Mohammed Alshbool
PROOF
Iterative Methods for Nonlinear Equations
article

Computational Method to Find Solutions of Mathematical Problems with Error and Stability Analysis

Mohammed Alshbool
article en

Abstract

This paper provides stability theorems and residual correction procedures for a realistic optimization problem using an accurate computational method. An example illustration has shown optimal performance with high-accuracy orders.

PROOFVol. 5
Zayed University (AE)
Openalex Percentile: Top 89%
Iterative Methods for Nonlinear Equations
DOIOpen Access PDFOpenAlex
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Computational Method to Find Solutions of Mathematical Problems with Error and Stability Analysis — Mohammed Alshbool · PROOF (2025) | TGRS Research Map | TGRS