M. Maleki Miyane - Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran
S. Abbasbandy - Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran

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.

Collocation method, shifted Jacobi polynomial, Singular boundary value problem, Exponential nonlinearity, Product nonlinearity