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A UNIFORMLY CONVERGENT FINITE DIFFERENCE METHOD FOR A SINGULARLY PERTURBED INITIAL VALUE PROBLEM
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作者 g. m. amiraliyev, hakk duru department of mathematics, y y university, 65080 van, turkey 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第4期40-48,共9页
Initial value problem for linear second order ordinary differential equation with small parameter by the first and second derivatives is considered. An exponentially fitted difference scheme with constant fitting fact... Initial value problem for linear second order ordinary differential equation with small parameter by the first and second derivatives is considered. An exponentially fitted difference scheme with constant fitting factors is developed in a uniform mesh, which gives first_order uniform convergence in the sense of discrete maximum norm. Numerical results are also presented. 展开更多
关键词 singular perturbation difference scheme uniform convergence initial value condition linear ordinary differential equation
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