ZHANG Wenzhi, FU Minghui, LAN Linhua. General Precise Integration Method for Twopoint Boundary Value Problems[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2010,49(6):15-19.
ZHANG Wenzhi, FU Minghui, LAN Linhua. General Precise Integration Method for Twopoint Boundary Value Problems[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 2010,49(6):15-19.DOI:
A general precise integration method for twopoint boundary value problems of ordinary differential equations is presented. Using the transfer matrix
interval algebraic equations are established and the recursive formulas for interval combination and condensation are derived for various boundary conditions. By utilizing the results of the transfer matrix directly
the process of interval combination and condensation has high efficiency. In addition
the present method has wide application for which can deal with various boundary value problems. Numerical examples show the validity of the present method.
关键词
一阶常微分方程组边值问题精细积分法病态方程递推算法
Keywords
first ordinary differential equationstwopoint boundary value problemprecise integration methodillconditioned equationsrecursive algorithm