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This research aims to develop computational schemes for estimating solutions to nonlinear fractional-order singular integral equations.

July 11, 2026Computers & Mathematics with ApplicationsOpen Access

Robust estimation and convergence analysis of multi-dimensional singular integral models employing advanced higher-order iterative schemes

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This research aims to develop computational schemes for estimating solutions to nonlinear fractional-order singular integral equations.
Utilized a linearized fully spectral method with shifted Gegenbauer polynomials for steady problems.
Extended a semi-discrete scheme for unsteady problems using forward difference for temporal derivatives.
Established new operational matrices for estimating singular integral terms.
Implemented methods in Maple 2015, yielding accurate, stable, and reliable solutions.
Validated results against existing literature for various test problems.
Demonstrated effectiveness across a range of nonlinear parameters.

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Implication

Randomized trial demonstrates effective computation of singular integral equations using advanced methods, suggesting practical applications in scientific fields.

Cite This Study

Hamid et al. (2026) studied this question.

synapsesocial.com/papers/6a51dc79c18d7f28ca4ffc11 https://doi.org/10.1016/j.camwa.2026.06.027

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Implication

Randomized trial demonstrates effective computation of singular integral equations using advanced methods, suggesting practical applications in scientific fields.

Robust estimation and convergence analysis of multi-dimensional singular integral models employing advanced higher-order iterative schemes

Key Points

Discussion

Implication

Cite This Study

Robust estimation and convergence analysis of multi-dimensional singular integral models employing advanced higher-order iterative schemes

Key Points

Discussion

Implication

Cite This Study

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