报告主题：Solving second-order nonlinear boundary value problem under nonlinear boundary conditions by an fast convergence iterative method
报告人：郭仲伦 博士 (台湾海洋大学)
报告时间：2017年5月5日（周五）14:00
报告地点：校本部G507
邀请人：刘东杰
主办部门：37000cm威尼斯数学系
报告摘要： The second-order boundary value problem under nonlinear boundary conditions is solved by an iterative numerical method in this paper. We introduce eigenvalues and the corresponding test functions, such that a weak-form integral equation is developed. Then by expanding the numerical solution in terms of the weighted test functions and using the orthogonality, which together with the separated linear boundary conditions, we can obtain the closed-form expansion coefficients with the aid of Drazin inversion formula. When we derive the iterative scheme by putting the time-varying terms and the nonlinear boundary terms on the right-hand sides to solve the nonlinear boundary conditions problem, it is convergent very fast and also provides very accurate numerical solutions. Some examples with multiple solutions are worked out.
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