Jacobi Spectral Approximations To Differential Equations On The Half Line
Ben Yu Guo 11 Department of Mathematics, Shanghai Normal University, Shanghai 200234, China / COM2MAC, Pohang University of Science and Technology, Pohang, Korea
Some Jacobi approximations are investigated, which are used for numerical solutions of differential equations on the half line. The stability and convergence of the proposed schems are proved. The main idea and techniques in this paper are also applicable to other problems on unbounded domains.
Key words: Jacobi spectral approximations; Differential equations on the half line; Stability and convergence.