In this paper, a difference scheme in a special mesh is presented for solving the singluarly perturbed two-point boundary value problems. It is shown that the convergence order is O(N-2) uniformly with respect to the ...In this paper, a difference scheme in a special mesh is presented for solving the singluarly perturbed two-point boundary value problems. It is shown that the convergence order is O(N-2) uniformly with respect to the perturbation parameter, ∈. The numerical examples are given underline the theoretical results.展开更多
Some results of existence of positive solutions for singular boundary value problems{-u″(t) = p(t)f(u(t)), t ∈ (0, 1),u(0) = u(1) = 0are given, where the function p(t) may be singular at t = 0,1.
文摘In this paper, a difference scheme in a special mesh is presented for solving the singluarly perturbed two-point boundary value problems. It is shown that the convergence order is O(N-2) uniformly with respect to the perturbation parameter, ∈. The numerical examples are given underline the theoretical results.
基金Project supported by the 973 Project of the Ministry of Science and Technology of China (No.G1999075109)
文摘Some results of existence of positive solutions for singular boundary value problems{-u″(t) = p(t)f(u(t)), t ∈ (0, 1),u(0) = u(1) = 0are given, where the function p(t) may be singular at t = 0,1.
