An Approximation Method for Solving Volterra Integrodifferential Equations with a Weighted Integral Condition

الملخص EN

We apply the reproducing kernel Hilbert space (RKHS) methodfor getting analytical and approximate solutions for second-order hyperbolicintegrodifferential equations with a weighted integral condition.

Theanalytical solution is represented in the form of series; thus, the n-termsapproximate solutions are obtained.

The results of the numerical examplesare compared with the exact solutions to illustrate the accuracy and theeffectivity of this method.