Abstract
The conservative form and singular perturbed ordinary differential equation with periodic boundary value problem were studied, and a conservative difference scheme was constructed. Using the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation, it is proved that the scheme converges uniformly to the solution of differential equation with order one.
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References
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Communicated by LIN Zong-chi
Biography: CAI Xin (1964−), Associate Professor
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Xin, C. A conservative difference scheme for conservative differential equation with periodic boundary. Appl Math Mech 22, 1210–1215 (2001). https://doi.org/10.1007/BF02436457
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DOI: https://doi.org/10.1007/BF02436457
Key words
- conservative equation
- singular perturbation
- periodic boundary
- conservative difference scheme
- uniform convergence