Traditionally, partial differential equation (PDE) problems are solved numerically through a
discretization process. Iterative methods are then used to determine the algebraic system …

A novel numerical technique based on orthogonal Laguerre polynomials called the
Laguerre matrix collocation method is proposed. The motivation of the study is to reduce the …

Recent years show an increasing interest in flexible robots due to their adaptability merits.
This paper introduces a novel set of hyper-redundant flexible robots which we call actuated …

We devise a numerical method for solving the Poisson's equation using a convolutional
neural network architecture, otherwise known as deep learning. The method we have …

The surface of partial differential equation (PDE surface) is a surface that satisfies the PDE
with boundary conditions, which can be applied in surface modeling and construction. In this …

Principal component analysis (PCA) is an elegant mechanism that reduces the
dimensionality of a dataset to bring out patterns of interest in it. The preprocessing of facial …

Bicubic B-spline surface constrained by the Biharmonic PDE is presented in this paper. By
representing the Biharmonic PDE in the form of the bilinear B-spline bases, we find the …

The quasi-Bézier surface is a kind of commonly used surfaces in CAGD/CAD systems. In this
paper, we present a novel approach to construct quasi-Bézier surfaces from the boundary …

We approach surface design by solving a linear third order Partial Differential Equation
(PDE). We present an explicit polynomial solution method for triangular Bézier PDE surface …

The PDE under study here is a general fourth-order linear elliptic Partial Differential
Equation. Having prescribed the boundary control points, we provide the explicit expression …