Finite differences provided the first numerical approach that permitted large-scale
simulations in many applications areas, such as geophysical fluid dynamics. As accuracy …

This book is focused on a powerful numerical methodology for solving PDEs to high
accuracy in any number of dimensions: Radial Basis Functions (RBFs). During the past …

This article presents the structure, design, and motion control of an inchworm inspired
pneumatic soft robot, which can perform differential movement. This robot mainly consists of …

This paper describes two numerical methods based on radial basis functions (RBFs) for
solving the time-dependent linear and nonlinear Fokker–Planck equations in two …

Scattered data interpolation schemes using kriging and radial basis functions (RBFs) have
the advantage of being meshless and dimensional independent; however, for the datasets …

In the present study, three numerical meshless methods are being considered to solve
coupled Klein–Gordon–Schrödinger equations in one, two and three dimensions. First, the …

In nuclear system design, the neutron diffusion equation (NDE) is always used for steady
and transient neutron behaviors simulation and in many types of nuclear reactor systems …

This book introduces the fundamental concepts, methods, and applications of Hausdorff
calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff …

A novel multiple-relaxation-time (MRT) lattice Boltzmann model is proposed for the radiative
transfer equation (RTE). In this paper, the discussion and implementation are restricted to …

Digital image correlation methods allow the determination of the displacement (and thus the
strain) field of a target by picture comparisons, without the application of strain gauges or …