Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions

作者：Ahmad Bashir^*; Alghamdi Badra S

来源：Computer Physics Communications, 2008, 179(6): 409-416.

DOI：10.1016/j.cpc.2008.04.008

• Duffing equation
• quasilinearization
• quadratic convergence

In this paper, we study a boundary value problem involving the nonlinear Duffing equation with both integral and non-integral forcing terms, and separated boundary conditions. We develop a generalized quasilinearization algorithm to obtain monotone sequences of lower and upper solutions converging uniformly and quadratically to the unique Solution of the problem.

• 出版日期2008-9-15