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Approximation of solutions for an initial and terminal value problem for the forced Duffing equation with non-viscous damping |
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| Authors: | Juan J. Nieto |
| Affiliation: | a Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782 Santiago de Compostela, Spain b Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia |
| Abstract: | 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. |
| Keywords: | Initial and terminal value problem Duffing equation Non-viscous damping Quasilinearization Quadratic convergence |
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