Boundary integral equations (BIEs) have emerged as a powerful framework for modelling wave propagation, particularly in problems defined over unbounded or complex domains. By reformulating partial ...

ABSTRACT: In this paper, we discuss a new method employed to tackle non-linear partial differential equations, namely Double Elzaki Transform Decomposition Method (DETDM). This method is a combination ...

Abstract: Neural networks are increasingly used widely in the solution of partial differential equations (PDEs). This letter proposes 3D-PDE-Net to solve the three-dimensional PDE. We give a ...

Abstract: Seismic wavefield forward modeling in anelastic (attenuating) media is a fundamental tool for both data processing and interpretation in modern seismic exploration. We propose a generalized ...

ABSTRACT: In this study, the Bernstein collocation method has been expanded to Stancu collocation method for numerical solution of the charged particle motion for certain configurations of oscillating ...

Abstract. In this study, weconsider some boundary value problems by using the differential transformation method with convolutions term. Further, we also propose a new method to solve the differential ...