Fermat Collocation Method for Nonlinear System of First Order Boundary Value Problems

[摘要] In this study, a numerical approach is proposed to obtain approximate solutions of nonlinear system of first order boundary value problem. This technique is essentially based on the truncated Fermat series and its matrix representations with collocation points. Using the matrix method, we reduce the problem to a system of nonlinear algebraic equations. Numerical examples are also given to demonstrate the validity and applicability of the presented technique. The method is easy to implement and produces accurate results.

[学科分类] 计算数学

[关键词] Nonlinear system;first order boundary value problem;fermat polynomials;series;collocation points