Approximation of solutions for an initial and terminal value problem for the forced Duffing equation with non-viscous damping

作者：Nieto Juan J; Ahmad Bashir^*

来源：Applied Mathematics and Computation, 2010, 216(7): 2129-2136.

DOI：10.1016/j.amc.2010.03.046

• Initial and terminal value problem
• Duffing equation
• Non-viscous damping
• Quasilinearization
• Quadratic convergence

An algorithm to find explicit approximate solutions of an initial and terminal value problem for the forced Duffing equation with non-viscous damping is accomplished via a generalized quasilinearization method. In fact, we obtain a monotone sequence of approximate solutions converging uniformly and quadratically to a unique solution of the problem.

• 出版日期2010-6-1