| Summary: | 碩士 === 國立新竹教育大學 === 數學教育學系碩士班 === 93 === This thesis investigates the turning points, bifurcation points and solution branches of nonlinear ordinary differential equations with the boundary-values.
First, we use shooting method and newton’s interative method to calculate the bifurcation points or turning points.We use implicit function theorem as the foundation to quote the numerical method of the Liapunov-Schmidt reduction method, pseudo-archength continuation method, secant-predictor method, and Newton’s interative method,to continue all solution branches from bifurcation points.
Finally, we change one of the parameters and fix the others to find the bifurcation phenomenon, and the changes of bifurcation points and turning points.
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