The linear rational collocation method

Solving Volterra's Population Model via Rational Christov Functions Collocation ‎Method

The present study is an attempt to find a solution for Volterra's Population Model by utilizing Spectral methods based on Rational Christov functions. Volterra's model is a nonlinear integro-differential equation. First, the Volterra's Population Model is converted to a nonlinear ordinary differential equation (ODE), then researchers solve this equation (ODE). The accuracy of method is tested i...

The Linear Rational Collocation Method With Iteratively Optimized Poles for Two-Point Boundary Value Problems

An Approximate Solution of the Mhd Flow over a Non-linear Stretching Sheet by Rational Chebyshev Collocation Method

The problem of the boundary layer flow of an incompressible viscous fluid over a non-linear stretching sheet is considered. A spectral collocation method is performed in order to find an analytical solution of the governing nonlinear differential equations. The obtained results are finally compared through the illustrative graphs and tables with the exact solution and some well-known results ob...

A Collocation Method for Linear Fourth Order Boundary Value Problems

We propose and analyze a numerical method for solving fourth order differential equations modelling two point boundary value problems. The scheme is based on B-splines collocation. The error analysis is carried out and convergence rates are derived.

An approximate analytical solution of higher-order linear differential equations with variable coefficients using improved rational Chebyshev collocation method

The purpose of this paper is to investigate the use of rational Chebyshev (RC) collocation method for solving high-order linear ordinary differential equations with variable coefficients. Using the rational Chebyshev collocation points, this method transforms the high-order linear ordinary differential equations and the given conditions to matrix equations with unknown rational Chebyshev coeffi...