ABSTRACT
In this work, an improved reproducing kernel method to find the numerical solution of Fredholm integro-differential equation type boundary value problems has been developed. Based on the good properties of reproducing kernel function and the conjugate operator, the solution representation is obtained. Meanwhile, we prove that the approximation converges to the exact solution uniformly. After that the convergence estimates are derived.
Acknowledgements
The authors would like to express their thanks to unknown referees for the careful reading of the manuscript and helpful comments.
Disclosure statement
No potential conflict of interest was reported by the authors.