August 11, 2025Open Access

A novel approach for solving linear Fredholm integral equations of the second kind using Bernoulli polynomials and improved block-pulse functions

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This approach evaluates accuracy and convergence in linear fredholm integral equations using bernoulli polynomials and block-pulse functions.

The proposed method achieves high accuracy in solving linear Fredholm integral equations, leveraging mathematical properties effectively.
Implementing this method shows improved convergence and accuracy through Bernoulli polynomials and block-pulse functions.
This method stems from a numerical approach combining discretization techniques relevant to modern applied mathematics.
Support for complex integral equations was indicated by various exemplary case studies demonstrating computational efficiency.

Ramadan et al. (2025) studied this question.

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This approach evaluates accuracy and convergence in linear fredholm integral equations using bernoulli polynomials and block-pulse functions.