Geodesic
Approximation of solutions of the forced duffing equation with nonlocal discontinuous type integral boundary conditions
Archivum mathematicum, Tome 44 (2008) no. 4, pp. 295-305

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A generalized quasilinearization technique is applied to obtain a sequence of approximate solutions converging monotonically and quadratically to the unique solution of the forced Duffing equation with nonlocal discontinuous type integral boundary conditions.
Classification : 34A45, 34B10, 34B15
Keywords: duffing equation; integral boundary conditions; quasilinearization; quadratic convergence 
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     author = {Alsaedi, Ahmed},
     title = {Approximation of solutions of the forced duffing equation with nonlocal discontinuous type integral boundary conditions},
     journal = {Archivum mathematicum},
     pages = {295--305},
     publisher = {mathdoc},
     volume = {44},
     number = {4},
     year = {2008},
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     zbl = {1212.34017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2008__44_4_a4/}
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Alsaedi, Ahmed. Approximation of solutions of the forced duffing equation with nonlocal discontinuous type integral boundary conditions. Archivum mathematicum, Tome 44 (2008) no. 4, pp. 295-305. http://geodesic.mathdoc.fr/item/ARM_2008__44_4_a4/