In order to solve Prandtl-type equations we propose a collocation-quadrature method based on de la Vallée Poussin (briefly VP) filtered interpolation at Chebyshev nodes. Uniform convergence and stability are proved in couple of Hölder-Zygmund spaces locally continuous functions. With respect classical methods Lagrange the same collocation nodes, succeed reproducing optimal rates L2 case cut off...

This paper studies a spectral collocation approach for evaluating the numerical solution of stochastic multi-term time-fractional diffusion equations associated with noisy data driven by Brownian motion. model describes symmetry breaking in molecular vibrations. The is proposed means points method based on sixth-kind Chebyshev polynomial approach. For this purpose, problem under consideration r...

‎it is commonly accepted that fractional differential equations play‎ ‎an important role in the explanation of many physical phenomena‎. ‎for‎ ‎this reason we need a reliable and efficient technique for the‎ ‎solution of fractional differential equations‎. ‎this paper deals with‎ ‎the numerical solution of a class of fractional differential‎ ‎equation‎. ‎the fractional derivatives are described...

‎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...