PERFORMANCE OF RADIAL POINT INTERPOLATION METHOD IN SOLVING KINEMATIC WAVE EQUATION FOR HYDROLOGIC MODELLING

Nonlinear Cable equation, Fractional differential equation, Radial point interpolation method, Meshless local Petrov – Galerkin, Stability analysis

The cable equation is one the most fundamental mathematical models in the neuroscience, which describes the electro-diffusion of ions in denderits. New findings indicate that the standard cable equation is inadequate for describing the process of electro-diffusion of ions. So, recently, the cable model has been modified based on the theory of fractional calculus. In this paper, the two dimensio...

Using multiquadric quasi-interpolation for solving Kawahara equation

Radial Point Interpolation Collocation Method (RPICM) for Partial Differential Equations

K e y w o r d s R P I C M , Hermite-type interpolation, Meshfree, Partial differential equations. *Author to whom all correspondence should be addressed. Current address: Department of Mechanics, Zhejiang University, Hangzhou, P.R. China, 310027. 0898-1221/05/$ see front matter @ 2005 Elsevier Ltd. All rights reserved. Typeset by .AA/p%TEX doi:10.1016/j.camwa.2005.02.019 1426 x. Liu et al. 1. I...

Elasto-plastic analysis of discontinuous medium using linearly conforming radial point interpolation method

In this paper, the linearly conforming enriched radial basis point interpolation method is implemented for the elasto-plastic analysis of discontinuous medium. The linear conformability of the method is satisfied by the application of stabilized nodal integration and the enrichment of radial basis functions is achieved by the addition of linear polynomial terms. To implement the method for the ...

radial basis functions and fdm for solving fractional diffusion-wave equation

in this work, we apply the radial basis functions for solving the time fractional diffusion-wave equation defined by caputo sense for                         . the problem is discretized in the time direction based on finite difference scheme and is continuously approximated by using the radial basis functions in the space direction which achieves the semi-discrete solution. numerical results s...