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.

A Uniformly Convergent Second Order Difference Scheme for a Singularly Perturbed Self-Adjoint Ordinary Differential Equation in Conservation Form

  • Received Date: 1987-06-03
  • Publish Date: 1989-03-15
  • 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.
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    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.
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    郭雯,小参数自共辆问题Ezpoaentlal Box格式的一致收敛性,国际常微分方程会议资料,福州大学(1985).
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    Smith,D.R.,The multivariable method in singular perturbation analysis,SIAM Rev.,17(1973),221-273.
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