This paper presents a study for solving unsaturated flow in heterogeneous porous media using the meshless method with radial basis function (RBF). For modeling nonlinear hydrological process zone, an exponential model is introduced Richards equation such that we may obtain linearized equation. We adopt multiquadric as RBF simulating problems layered soils, flux and head must satisfy continuity ...

This work focuses on radial basis functions containing no parameters with the main objective being to comparatively explore more of their effectiveness. For this, a total sixteen forms shapeless are gathered and investigated under context pattern recognition problem through structure function neural networks, use Representational Capability (RC) algorithm. Different sizes datasets disturbed noi...

Elliptic boundary value problems (BVPs) are widely used in various scientific and engineering disciplines that involve finding solutions to elliptic partial differential equations subject certain conditions. This article introduces a novel approach for solving BVPs using an artificial neural network (ANN)-based radial basis function (RBF) collocation method. In this study, the backpropagation i...

This paper presents a statistical decision procedure for lexical ambiguity resolution. The algorithm exploits both local syntactic patterns and more distant collo-cational evidence, generating an eecient, eeective, and highly perspicuous recipe for resolving a given ambiguity. By identifying and utilizing only the single best dis-ambiguating evidence in a target context, the algorithm avoids th...

While it was noted by R. Hardy and proved in a famous paper by C. A. Micchelli that radial basis function interpolants s(x) = ∑ λjφ(‖x − xj‖) exist uniquely for the multiquadric radial function φ(r) = √ r2 + c2 as soon as the (at least two) centres are pairwise distinct, the error bounds for this interpolation problem always demanded an added constant to s. By using Pontryagin native spaces, we...

The inverse multiquadric radial basis function (RBF), which is one of the most important functions in theory RBFs, employed on an adaptive mesh points for pricing a fractional Black–Scholes partial differential equation (PDE) based modified RL derivative. To solve this problem, discretization along space carried out non-uniform grid order to focus hot area, at initial condition model, i.e., pay...