Solving the first-kind Convolution Type Volterra Integro-Differential Equation using the Modified Natural Transform

Abstract

These equations arise in scenarios like glass formation processes, diffusion problems, radiation transfer, cell growth, and satellite motion description. This study introduces the Modified Natural Transform as a tool for solving Volterra integro-differential equations of the convolution type. The authors applied this method to solve numerical problems, demonstrating its efficacy and providing a comprehensive methodology. The results indicate that the Modified Natural Transform is highly effective for addressing convolution-type Volterra integro-differential

equations of the first kind.