A new approach for solving Volterra integro-diffierential equations using the reproducing kernel method

This paper is concerned with a technique for solving Volterra integro-differential equations in the reproducing kernel Hilbert space. In contrast with the conventional reproducing kernel method, the Gram-Schmidt process is omitted here and satisfactory results are obtained.The convergence analysis is established theoretically. The applicability of the iterative method is demonstrated by testing some various examples.