Guo Wen, Lin Peng-cheng. A Uniformly Convergent Second Order Difference Scheme for a Singularly Perturbed Self-Adjoint Ordinary Differential Equation in Conservation Form[J]. Applied Mathematics and Mechanics, 1989, 10(3): 221-230.
Citation:
Guo Wen, Lin Peng-cheng. A Uniformly Convergent Second Order Difference Scheme for a Singularly Perturbed Self-Adjoint Ordinary Differential Equation in Conservation Form[J]. Applied Mathematics and Mechanics, 1989, 10(3): 221-230.
Guo Wen, Lin Peng-cheng. A Uniformly Convergent Second Order Difference Scheme for a Singularly Perturbed Self-Adjoint Ordinary Differential Equation in Conservation Form[J]. Applied Mathematics and Mechanics, 1989, 10(3): 221-230.
Citation:
Guo Wen, Lin Peng-cheng. A Uniformly Convergent Second Order Difference Scheme for a Singularly Perturbed Self-Adjoint Ordinary Differential Equation in Conservation Form[J]. Applied Mathematics and Mechanics, 1989, 10(3): 221-230.
In this paper, based on the idea of El-Mistikawy and Werle we construct a difference scheme for a singularly perturbed self-adjoint ordinary differential equation in conservation form. We prove that it is a uniformly convergent second order scheme.
El-Mistikawy,T.M.and M.J.Werle,Numerical method for boundary layers with blowing the exponential box scheme,AIAA.J.,16(1978) 749-751.
[2]
Hegarty,A.F.,J.J.H.Miller and E.O'Riordan,Uniform second order difference scheme for singular perturbation problems,Proc.Internat.Conf on Boundary and Interior Layers,Computational and Asymptotic Methods,June 3-6(1980),Trinity College,Dublin,Ireland(J.J.H.Miller ed.),Boole Press,Dublin(1980),301-305.