摘要
The paper is concerned with solving periodic boundary problem of semilinear systems,which will be differentiably embedded into an one-parameter family of operators.The solution of the systems is then found by continuing the solution curve of operator homotopy.When the Newton-Kantorovich's procedure is applied to the corresponding operator equations,an efficient algorithm is derived.Finally,the theoretical results are in excellent agreement with the numerical examples.
The paper is concerned with solving periodic boundary problem of semi-linear systems, which will be differentiably embedded into an one-parameter family of operators. The solution of the systems is then found by continuing the solution curve of operator homotopy. When the Newton-Kantorovich 's procedure is applied to the corresponding operator equations, an efficient algorithm is derived. Finally, the theoretical results are in excellent agreement with the numerical examples.
