The natural transform (nt), a novel global method for solving fractional high-order differential equations (FDEs), is presented in this work. This technique functions as an all-encompassing integral ...

This research introduces a new global technique for addressing fractional differential equations (FDEs), referred to as the N-Transform (NT). This method serves as a comprehensive integral transform, ...

Abstract: This article presents a new approach to solving the time-domain electric field integral equation (TD-EFIE). The proposed method develops the notion of problem-independent numerical inversion ...

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both ...

Physics-informed convolutional recurrent network (PhyCRNet) can solve partial differential equations without labeled data by encoding physics constraints into the loss function. However, the ...

The study of reaction–diffusion processes is much more complicated on general curved surfaces than on standard Cartesian coordinate spaces. Here we show how to formulate and solve systems of ...