THE NUMERICAL SOLYTIONS OF WEAKLY SINGULAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND USING CHEBYSHEV POLYNOMIAL OF THE SECOND KIND
Document Type
Article
Publication Date
4-11-2024
Abstract
In this study, the second kind Chebyshev Polynomials were utilized to acquire interpolated solutions for the second kind Fredholm integral equations with weakly singular kernel. To accomplish this, the data, unknown, and kernel functions were converted into matrix form, and consequently we completely isolated the singularity of the kernel. The primary benefit of this method is the ability to change the form of integral equation to an equivalent algebraic system, which is easier to solve. The effectiveness of our technique was evaluated by applying it to three illustrated examples, and it was observed that the solutions obtained exhibit strong convergence towards the exact solutions.
Recommended Citation
Saber, Nermin Abdelsatar, "THE NUMERICAL SOLYTIONS OF WEAKLY SINGULAR FREDHOLM INTEGRAL EQUATIONS OF THE SECOND KIND USING CHEBYSHEV POLYNOMIAL OF THE SECOND KIND" (2024). Petroleum Engineering and Gas. 27.
https://buescholar.bue.edu.eg/pet_eng_gas/27
