Title of article :
An Efficient Numerical Method for a Class of Boundary Value Problems, Based on Shifted Jacobi-Gauss Collocation Scheme
Author/Authors :
Maleki Miyane, M. Department of Mathematics - Imam Khomeini International University, Ghazvin, Iran , Abbasbandy, S. Department of Mathematics - Imam Khomeini International University, Ghazvin, Iran
Abstract :
We present a numerical method for a class of boundary value problems on the unit interval which feature a type of exponential and product nonlinearities. Also, we consider singular case. We construct a kind of spectral collocation method based on shifted Jacobi polynomials to implement this method. A number of specific numerical examples demonstrate the accuracy and the efficiency of the proposed method.
Keywords :
Collocation method , shifted Jacobi polynomial , Product nonlinearity , Exponential nonlinearity , Singular boundary value problem
Journal title :
Astroparticle Physics
