An Efficient Numerical Method for a Class of Boundary Value Problems, Based on Shifted Jacobi-Gauss Collocation Scheme

محورهای موضوعی : مجله بین المللی ریاضیات صنعتی

M. Maleki Miyane ¹ (Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran)
S. Abbasbandy ² (Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran)

تاریخ دریافت : 1395/05/16 تاریخ پذیرش : 1395/05/17 تاریخ انتشار : 1397/10/11

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

چکیده مقاله :

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.