What type of study is this?

This is a Literature Review study.

August 18, 2025ComputationOpen Access

Comparative Analysis of Wavelet Bases for Solving First-Kind Fredholm Integral Equations

View Full Paper

Ask AI

Bookmark

Authors

NTNurlan TemirbekovAl-Farabi Kazakh National University DTDinara TamabayAl-Farabi Kazakh National University ATAigerim M. TleulesovaAl-Farabi Kazakh National University

Discussion

Member takes

Implication

Numerical methods reduced error in Fredholm integral equations using various wavelet bases, indicating the efficiency of Chebyshev and Hermite systems.

Key Points

Chebyshev and Hermite wavelet bases achieved the lowest error norms, optimizing numerical solutions.
Error analysis focused on known analytical solutions, evaluating performance at various discretization levels.
Observational analysis compared wavelet bases, including Alpert multiwavelets and CAS wavelets, under noise conditions.
This work underscores the sensitivity of each basis to noise and potential instability in numerical solutions.

Cite This Study

Temirbekov et al. (2025) studied this question.

synapsesocial.com/papers/68af431bad7bf08b1ead1921 https://doi.org/10.3390/computation13080199

View Full Paper

Ask AI

Bookmark

Implication

Numerical methods reduced error in Fredholm integral equations using various wavelet bases, indicating the efficiency of Chebyshev and Hermite systems.

Comparative Analysis of Wavelet Bases for Solving First-Kind Fredholm Integral Equations

Discussion

Member takes

Implication

Key Points

Cite This Study

Comparative Analysis of Wavelet Bases for Solving First-Kind Fredholm Integral Equations

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider