International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 14, Pages 857-867
doi:10.1155/S0161171203203100

The convergence estimates for Galerkin-wavelet solution of periodic pseudodifferential initial value problems

Nguyen Minh Chuong1 and Bui Kien Cuong2

1National Centre for Natural Science and Technology, Institute of Mathematics, 18 Hoang Quoc Viet Road, Cau Giay District, Hanoi, Vietnam
2Department of Mathematics, Hanoi Pedagogical University, Number 2, Xuan Hoa, Me Linh, Vinh Phu, Vietnam

Abstract

Using the discrete Fourier transform and Galerkin-Petrov scheme, we get some results on the solutions and the convergence estimates for periodic pseudodifferential initial value problems.