常熟理工学院学报
常熟理工學院學報
상숙리공학원학보
Journal of Changshu Institute of Technology
2015年
4期
45-48
,共4页
再生核方法%奇异摄动问题%转向点
再生覈方法%奇異攝動問題%轉嚮點
재생핵방법%기이섭동문제%전향점
reproducing kernel method%singularly perturbed problems%turning point
基于再生核理论,提出了求解具有两个边界层的奇异摄动转向点问题的数值方法. 首先通过一个合适的变量变换,把原问题转化成不再具有边界层的边值问题,转化后的边值问题通过再生核方法进行求解,数值算例的结果表明该方法是有效的.
基于再生覈理論,提齣瞭求解具有兩箇邊界層的奇異攝動轉嚮點問題的數值方法. 首先通過一箇閤適的變量變換,把原問題轉化成不再具有邊界層的邊值問題,轉化後的邊值問題通過再生覈方法進行求解,數值算例的結果錶明該方法是有效的.
기우재생핵이론,제출료구해구유량개변계층적기이섭동전향점문제적수치방법. 수선통과일개합괄적변량변환,파원문제전화성불재구유변계층적변치문제,전화후적변치문제통과재생핵방법진행구해,수치산례적결과표명해방법시유효적.
A numerical method is proposed for solving singularly perturbed turning point problems exhibiting twin boundary layers based on the reproducing kernel method. Firstly, the original problem is reformulated as a new boundary value problem whose solution does not change rapidly via a proper transformation. Then the repro?ducing kernel method is employed to solve the boundary value new problem. Numerical results show that the present method can provide very accurate analytical approximate solutions.
