November 11, 2025Acta Applicandae MathematicaeOpen Access

A Unified Multifaceted Space-Time Wavelet Framework and Its Singularity Analysis for Weakly Singular Non-local Partial Integro-Differential Equations in High Dimensions

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Findings indicate significant convergence improvements in weakly singular integro-partial differential equations.
The analysis showed that wavelet approaches enhance accuracy in approximations and errors related to singularities.
Observational results reveal the advantage of multi-resolution methods in capturing time singularities using wavelets effectively.
This highlights the potential for higher-order analyses in complex multi-dimensional problems involving singularities.

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Implication

Analysis demonstrates improved convergence for integro-partial differential equations with time singularity, suggesting effectiveness of wavelet methods.

Cite This Study

Santra et al. (2025) studied this question.

synapsesocial.com/papers/69252ea3c0ce034ddc35680c https://doi.org/10.1007/s10440-025-00756-4

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Implication

Analysis demonstrates improved convergence for integro-partial differential equations with time singularity, suggesting effectiveness of wavelet methods.

A Unified Multifaceted Space-Time Wavelet Framework and Its Singularity Analysis for Weakly Singular Non-local Partial Integro-Differential Equations in High Dimensions

Key Points

Discussion

Implication

Cite This Study

A Unified Multifaceted Space-Time Wavelet Framework and Its Singularity Analysis for Weakly Singular Non-local Partial Integro-Differential Equations in High Dimensions

Key Points

Discussion

Implication

Cite This Study

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