In this study, bio-inspired computational techniques have been exploited to get the
numerical solution of a nonlinear two-point boundary value problem arising in the modelling …

In this paper, a numerical approach is proposed to find a semi analytical solution for a
prescribed anisotropic mean curvature equation modeling the human corneal shape. The …

We discuss the solution of cornea curvature using a meshless method based on radial basis
functions (RBFs). A full two-dimensional nonlinear thin membrane partial differential …

We discuss existence, uniqueness, regularity and boundary behaviour of solutions of the
Dirichlet problem for the prescribed anisotropic mean curvature equation− div (∇ u/1+|∇ u …

This research study presents a novel highly accurate matrix approach for numerical
treatments of a strongly nonlinear boundary value problem occurring in the modeling of the …

In this note we propose a fractional generalization of the classical modified Bessel equation.
Instead of the integer-order derivatives we use the Riemann-Liouville version. Next, we …

Purpose The aim of this work is to establish a computationally efficient iterative technique for
solving the highly nonlinear derivative-dependent boundary value problem (DDBVP). The …

In this paper we present some results concerning a boundary value problem for a nonlinear
ordinary differential equation that was used before in modeling the topography of human …

We prove existence, uniqueness, and stability of solutions of the prescribed curvature
problem (u′/1+ u′ 2)′= au− b/1+ u′ 2 in [0, 1], u′(0)= u (1)= 0, for any given a> 0 and …

In this paper we survey, complete and refine some recent results concerning the Dirichlet
problem for the prescribed anisotropic mean curvature equation egin {equation*}{m-div} left …