CAI Xin. A Conservative Difference Scheme for Conservative Differential Equation With Periodic Boundary[J]. Applied Mathematics and Mechanics, 2001, (10): 1092-1096.
Citation: CAI Xin. A Conservative Difference Scheme for Conservative Differential Equation With Periodic Boundary[J]. Applied Mathematics and Mechanics, 2001, (10): 1092-1096.

A Conservative Difference Scheme for Conservative Differential Equation With Periodic Boundary

  • Received Date: 2000-03-24
  • Rev Recd Date: 2001-03-23
  • Publish Date: 2001-10-15
  • 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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