Bai Qingyuan, Lin Pengcheng. A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition[J]. Applied Mathematics and Mechanics, 1996, 17(2): 181-188.
Citation:
Bai Qingyuan, Lin Pengcheng. A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition[J]. Applied Mathematics and Mechanics, 1996, 17(2): 181-188.
Bai Qingyuan, Lin Pengcheng. A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition[J]. Applied Mathematics and Mechanics, 1996, 17(2): 181-188.
Citation:
Bai Qingyuan, Lin Pengcheng. A Uniformly Difference Scheme of Singular Perturbation Problem for a Semilinear Ordinary Differential Equation with Mixed Boundary Value Condition[J]. Applied Mathematics and Mechanics, 1996, 17(2): 181-188.
In the poper, the method of separating singularity is applied to study the uniformly difference scheme of a singular perturbation problem for a semilinear ordinary differential equation with mixed boundary value condition. The uniform convergence on small parameter ε of order one for an Il'in type difference scheme constructed is proved. At the end of the paper, a numerical example is given. The computing results coincide with the theoretical analysis.
E,P,Doolan,J.J,H,Miller and W.H,A,Schilders,Uniform Numerical Methods for Problems with Initial and Boundary Lagers,Boole Press,Dublin(1980).
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R.B,Kellogg and A,Tsan,Analysis of some difference approximations for a singular perturbation problems without turning points,Math,Comp.,32(144)(1978),1025-1039