‎the main purpose of this paper is to study the numerical solution of nonlinear volterra integral equations with constant delays, based on the multistep collocation method. these methods for approximating the solution in each subinterval are obtained by fixed number of previous steps and fixed number of collocation points in current and next subintervals. also, we analyze the convergence of the...

In order to assess the performance of some meshless methods based on Radial Basis Function (RBF) Collocation, it is presented a comprehensive comparison between global and multi-domain formulations for solving convection-diffusion equations. Global formulations included are the symmetric or Fasshauer’s method and the overlapping two-domain decomposition method (the classical additive Schwarz te...

An improved truly meshless method is presented for three-dimensional (3D) electromagnetic problems. In the proposed method, the computational time for the construction of the introduced shape function is lower than the other meshless methods considerably. An efficient and stable nodal integration technique based on the Taylor series extension is also used in the proposed meshless method. Weak-f...

This paper adopts an efficient meshless approach for approximating the nonlinear fractional fourth-order diffusion model described in Riemann–Liouville sense. A second-order difference technique is applied to discretize temporal derivatives, while radial basis function generated finite scheme approximates spatial derivatives. One key advantage of local collocation method approximation derivativ...

The meshless method based on the least-squares approach, the meshless weighted leastsquares (MWLS) method, is extended to solve conduction heat transfer problems. The MWLS formulation is first established for steady-state problems and then extended to unsteady-state problems with time-stepping schemes. Theoretical analysis and numerical examples indicate that larger time steps can be used in th...